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PUBLICATIONS IN INTERNATIONAL REFEREED JOURNALS, BOOKS, OR CONFERENCE
PROCEEDINGS See,
also, the publications of Philippou, Andreas N. reviewed in zbMATH (ai:philippou.andreas-n)
and Mathematical
Reviews.
1.
GEORGHIOU, C., A.N. PHILIPPOU and Z.M.
PSILLAKIS. (2019). On the modes of the negative
binomial distribution of order k, type I. Communication
in Statistics- Simulation and Computation. Published
on line in April. See, also, arXiv preprint 1702.02183. 2.
DAFNIS, S.D., F.S.
MAKRI and A.N. PHILIPPOU (2019). The reliability of a generalized consecutive
system. Applied Mathematics and Computation 359, 186-193. 3.
PHILIPPOU, A.N. and
S.D. DAFNIS (2018). A simple proof of an identity generalizing Fibonacci-Lucas
identities. The Fibonacci Quarterly 56 (4), 334-336. 4.
DAFNIS, S.D., A.N.
PHILIPPOU and I. LIVTERIS (2018). An identity relating Fibonacci and Lucas
numbers of order k. Electronic Notes in Discrete Mathematics, 70, 37-42. 5.
PERVEZ, Z., S.F. SHAH, Z.
HUSSAIN, and A.N. PHILIPPOU (2017). An application of negative binomial
distribution of order k in sensitive surveys. Communication
in Statistics- Simulation and Computation 46
(8), 6654-6660. 6.
DAFNIS, S.D. and A.N. PHILIPPOU (2016). Infinite sums of weighted Fibonacci numbers of order k. The Fibonacci Quarterly 54 (2):149-153. Abstract 7.
PHILIPPOU, A.N. (2014). A note on the modes
of the Poisson distribution of order k. The
Fibonacci Quarterly 52 (3), 203-205. Abstract, Zbl 06350943. 8.
GEORGHIOU, C., A.N. PHILIPPOU and A. SAGHAFI
(2013). On the modes of the Poisson distribution of order k. The Fibonacci Quarterly 51 (1), 44-48. Abstract, MR
3029381 (Reviewer: Michele Zito), Zbl 1268.60015. 9.
DAFNIS, S.D., A.N. PHILIPPOU and D.L.
ANTZOULAKOS (2012). Distributions of patterns of two successes
separated by a string of k-2 failures (abstract) Statistical Papers 53(2), 323-344. 10.
DAFNIS, S.D. and A.N. PHILIPPOU (2011).
Distributions of patterns with applications in engineering. IAENG International Journal of
Applied Mathematics 41(1), 68-75 [Online
Full Text]. 11.
PHILIPPOU, A.N. and
D.L. ANTZOULAKOS (2011). Binomial distribution. Invited contribution in the International Encyclopedia of Statistical Science (edited by Miodrag Lovric), 152-154,
Springer. View Reference Work Entry. 12.
PHILIPPOU, A.N. and
D.L. ANTZOULAKOS (2011). Distributions
of Order k. Invited contribution
in the International Encyclopedia of Statistical Science (edited by Miodrag Lovric), 400-402,
Springer. 13.
14.
MAKRI, F.S., A.N. PHILIPPOU,
and Z.M. PSILLAKIS (2007). Polya, inverse Polya and circular Polya
distributions of order k for length-overlapping success runs. Communications
in Statistics-Theory and Methods 36, 657-668. Zbl 1114.60008 15.
MAKRI, F.S., A.N.
PHILIPPOU, and Z.M. PSILLAKIS (2007). Shortest and longest length of success runs in binary
sequences (abstract). Journal of
Statistical Planning and Inference 137, 2226-2239. Zbl 1128.60009 (Reviewer: Gheorghe Oprisan) MR2325430 (2008e:60023) (Reviewer: Antar Bandyopadhyay) 16.
MAKRI, F.S., A.N.
PHILIPPOU, and Z.M. PSILLAKIS (2007). Success run statistics defined on an urn
model. Advances
in Applied Probability 39(4),
991-1019, http://projecteuclid.org/handle/euclid.aap/1198177236
(abstract). 17.
TRIPSIANNIS, G.A.,
$A.A. PAPATHANASIOU and A.N. PHILIPPOU (2007). Multivariate extended
generalized distributions of order k. Advances and Applications in
Statistics 7(2), 211-227. Zbl 1131.62047 18.
TRIPSIANNIS, G.A.,
A.N. PHILIPPOU and A.A. PAPATHANASIOU (2007). Multivariate generalized
run-related distributions. Advances and Applications in Statistics 7(1),
141-156. Zbl 1137.62031 19.
20.
MAKRI, F.S. and A.N.
PHILIPPOU, (2005). On binomial and circular binomial distributions of order
k for l-overlapping success runs of length k (abstractew). Statistical Papers 46 (3), 411-432. Zbl
1086.60010, MR2253217 (2007J:60014) (Reviewer: Elvira Di Nardo) 21.
TRIPSIANNIS, G.A.,
A.N. PHILIPPOU and A.A, PAPATHANASIOU (2003). Multivariate
Generalized Distributions of Order k (abstract). Communications in Statistics-Theory and Methods, 32, 1725-1735. Zbl
1049.62061, MR1998978 (2004g:62036) (Reviewer: Jon
Stene) 22.
TRIPSIANNIS, G.A., A.N. PHILIPPOU (2003). Circular Polya
distributions of order k [PDF] from hindawi.com. International Journal of Mathematics and Mathematical Sciences, No. 25, 1563-1575. Zbl
1012.62013, MR1979694 (2004j:62028 (Reviewer: Heinrich Niederhausen) 23.
TRIPSIANNIS, G.A.,
A.N. PHILIPPOU (2003). The unified multivariate Polya-inverse
Polya distribution of order k. Rev. Roum. Math. Pures Appl. 48,
No.1, 113-121 (2003). Zbl 1045.62049, MR1998065 (2004J:60035) (Reviewers: Yu. I. Petunin
and D. A. Klyushin) 24.
TRIPSIANNIS, G.A., A.A, PAPATHANASIOU and A.N. PHILIPPOU (2003). Generalized
distributions of order k associated with success runs in Bernoulli trials [PDF] from hindawi.com. International Journal of Mathematics and
Mathematical Sciences, No. 13, 801-815. Zbl 1047.62012, MR19667303
(2004c:62040) (Reviewer: Heinrich Niederhausen) 25.
TRIPSIANNIS, G.A.,
A.A. PAPATHANASIOU and A.N. PHILIPPOU (2003). Multivariate generalized negative
binomial distribution of order k, type II. Journal of the Indian Society of
Statistics and Operations Research 24, 1-15. 26.
TRIPSIANNIS, G.A.,
A.N. PHILIPPOU and A.A PAPATHANASIOU (2002). Multivariate generalized Polya
distribution of order k. Communications in Statistics-Theory and Methods 31,
1899-1912. (Abstract), Zbl 1049.62062, MR1946305
(2003j:60012) (Reviewer: M. Riedel) 27.
PHILIPPOU, A.N. (2001). Fibonacci polynomials. Invited contribution in Encyclopedia of Mathematics, Supplement III (managing
editor M. Hazewinkel), 152-154, Kluwer
Academic Publishers, 28.
PHILIPPOU, A.N. (2001). Lucas polynomials. Invited contribution in Encyclopedia of Mathematics, Supplement III (managing editor M. Hazewinkel), 243-244, Kluwer Academic
Publishers, 29.
ANTZOULAKOS, D.L. and
A.N. PHILIPPOU (1999). Multivariate Pascal polynomials of order k
with probability applications. In Applications
of Fibonacci Numbers 8 (edited by F.T. Howard), 27-41, Kluwer
Academic Publishers, 30.
ANTZOULAKOS, D.L. and A.N. PHILIPPOU (1998).
Longest success and failure runs and new polynomials related to the
Fibonacci-type polynomials of order k. In Applications
of Fibonacci Numbers, 7
(edited by G.E. Bergum, A. N. Philippou and A.F.
Horadam),
29-38,
Kluwer Academic Publishers, 31.
TRIPSIANNIS, G.A. and
A.N. PHILIPPOU (1998). A multivariate inverse Polya
distribution of order k arising in the case of overlapping success runs. In Applications
of Fibonacci Numbers 7 (edited by G.E. Bergum, A. N. Philippou and A.F.
Horadam), 425-434, Kluwer Academic Publishers, 32.
ANTZOULAKOS, D.L. and A.N. PHILIPPOU (1997). On multivariate distributions of various orders obtained
by waiting for the r-th success run of length k in
trials of multiple outcomes. In Advances in
Combinatorial Methods and Applications to Probability and Statistics (edited
by N. Balakrishnan), 411-426, Birkhδuser, 33.
ANTZOULAKOS, D.L. and A.N. PHILIPPOU (1997).
Probability distribution functions of succession quotas in the case of Markov
dependent trials. Annals of the Institute of Statistical Mathematics 49,
531-539. Zbl 0947.60503 (Reviewer: B.C. Arnold),
MR1482371 (99e:60031) (Reviewer:
Barry C. Arnold) 34.
TRIPSIANNIS, G.A. and
A.N. PHILIPPOU (1997). A new multivariate inverse Polya
distribution of order k. Communications in Statistics-Theory and Methods 26,
149-158. Zbl 0964.62505, MR1440513 (98g:62030)
(Reviewer: Mir Masoom Ali) 35.
TRIPSIANNIS, G.A. and
A.N. PHILIPPOU (1997). A multivariate negative binomial distribution of order k
arising when success runs are allowed to overlap. In Advances
in Combinatorial Methods and Applications to Probability and Statistics (edited by N. Balakrishnan), 427-438, Birkhδuser,
36.
ANTZOULAKOS, D.L. and
A.N. PHILIPPOU (1996). Derivation of the probability distribution functions for
succession quota random variables. Annals of the Institute of Statistical
Mathematics 48, 551-561. Zbl 0925.62036, MR1424781 (98j:62006) (Reviewer:
D. N. Shanbhag) 37.
ANTZOULAKOS, D.L. and
A.N. PHILIPPOU (1996). Distributions of the numbers of successes and failures
until the occurrence of the r-th overlapping and
non-overlapping success run of length k. Journal of the Indian Society of
Statistics and Operations Research 17, 19-30. MR1646167
(99e:60030) 38.
MAKRI, F.S. and A.N.
PHILIPPOU (1996). Exact reliability formulas for linear and circular
m-consecutive-k-out-of-n: F systems (Abstract). Microelectronics and Reliability 36, 657-660 39.
ANTZOULAKOS, D.L. and
A.N. PHILIPPOU (1994). Expressions in terms of binomial coefficients fpr some multivariate distributions of order k.
In Runs and Patterns in Probability: Selected
Papers (edited by A.P. Godbole and A.G. Papastavridis), 1-14, Kluwer Academic
Publishers, 40.
MAKRI, F.S. and A.N. PHILIPPOU
(1994). Binomial distributions of order k on the circle. In Runs and Patterns in Probability: Selected Papers (edited by
A.P. Godbole and A.G. Papastavridis),
65-81, Kluwer Academic Publishers, 41.
ANTZOULAKOS, D.L. and A.N. PHILIPPOU (1991). A
note on the multivariate negative binomial distributions of order k
(abstract). Communications in Statistics-Theory and Methods 20,
1389-1399. Zbl 0747.62050, MR1117330 (92g:62018)
(Reviewer: Sven Berg) 42.
PHILIPPOU, A.N. and
D.L. ANTZOULAKOS (1991). Generalized multivariate Fibonacci polynomials of
order k and the multivariate negative binomial distributions of the same order.
(Free full text in) The Fibonacci Quarterly 29(4), 322-328. Zbl
0741.62055, MR1131406 (92j:05013) (Reviewer: Sri Gopal Mohanty) 43.
PHILIPPOU, A.N., D.L. and G.A. TRIPSIANNIS
(1991). Multivariate Polya and inverse Polya distributions of order k. Biometrical Journal
33, No.2, 225-236. Zbl 0735.60009, MR1128401
(92i:62029) (Reviewer: Anant P. Godbole) 44.
PHILIPPOU, A.N. and
D.L. ANTZOULAKOS (1990). Multivariate Fibonacci polynomials of
order k and the multiparameter negative binomial distribution of the same order. In Applications of Fibonacci Numbers 3 (edited by G.E. Bergum,
A.N. Philippou and A.F. Horadam), 273-279, Kluwer
Academic Publishers, 45.
PHILIPPOU, A.N. and D.L. ANTZOULAKOS (1990).
Multivariate distributions of order k on a generalized sequence. Stat. Probab. Lett. 9(5),
453-463. Zbl 0702.62044 (Reviewer: Songgui Wang), MR1060088 (91f:60024) 46.
PHILIPPOU, A.N. and
F.S. MAKRI (1990). Longest circular runs with an application
in reliability via the Fibonacci-type polynomials of order k.In Applications of Fibonacci Numbers 3 (edited by G. E. Bergum,
A.N. Philippou and A.F. Horadam), 281-286, Kluwer
Academic Publishers, 47.
PHILIPPOU, A.N., D.L. ANTZOULAKOS and G.A. TRIPSIANNIS
(1990). Multivariate distributions of order k, part II. Statistics and
Probability Letters 10, 29-35. Zbl 0716.62049,
MR1060299 (91f:62094) (Reviewer: K. D. Ling) 48.
PHILIPPOU, A.N.
(1989). Mixtures of distributions by the Poisson distribution of order k. Biometrical
Journal 31, 67-74. Zbl
0698.62020, MR0997990 (90h:62044) (Reviewer: 49.
50.
PHILIPPOU, A.N. and
C. GEORGHIOU (1989). Convolutions of Fibonacci-type polynomials of order k and
the negative binomial distributions of order k. (Free full text in) The Fibonacci Quarterly 27(3), 209-216. Zbl 0677.60012,
MR1002063 (90g:05018) (Reviewer: Sri Gopal
Mohanty) 51.
PHILIPPOU, A.N., G.A.
TRIPSIANNIS and D.L. ANTZOULAKOS (1989). New
polya and inverse polya
distributions of order k (abstract). Communications in Statistics-Theory and Methods 18,
2125-2137. Zbl
0696.62020, MR1033117 (91d:62015) (Reviewer: Sven Berg) 52.
PHILIPPOU, A.N.
(1988). Recursive
theorems for success runs and reliability of consecutive-k-out- of-n: F
systems. In Applications of Fibonacci Numbers, Proc. 2nd Int. Conf., San
Jose/Cal., August 1986, 149-161. Zbl 0654.60070, MR0951913
(89i:60022) (Reviewer: Howard Taylor) 53.
PHILIPPOU, A.N.
(1988). On
multiparameter distributions of order k [PDF]
from ism.ac.jp. Annals of the Institute of Statistical Mathematics 40, 467-475. Zbl
0679.62012, MR0964286 (90j:62021) 54.
PHILIPPOU, A.N., D.L. ANTZOULAKOS and G.A.
TRIPSIANNIS (1988). Multivariate distributions
of order k. Statistics and Probability
Letters 7, No.3, 207-216. Zbl
0678.62058, MR1017891 (90h:62045b) Reviewer: K. D. Ling) 55.
PHILIPPOU, A.N. and
F.S. MAKRI (1987). Closed Formulas for the Failure
Probability of a Strict-consecutive-k-out-of-n: F system (abstract). IEEE Transactions on Reliability R-36, 80-82. Zbl
0654.60071 56.
TZAFESTAS, S.G., A.C.
BOTSARIS and A.N. PHILIPPOU (1987). New results on the analysis and optimization of a k-out-of-n: F system with repair. In System Fault Diagnostics,
Reliability and Related Knowledge-based Approaches 1 (edited by 57.
XEKALAKI, E., J. PANARETOS and A. PHILIPPOU
(1987). On some mixtures of distributions of order k. (Free full text in) The Fibonacci Quarterly 25(2),
151-160. Zbl 0619.60019, MR0891326 (88k:60019) (Reviewer:
J. K. Ord) 58.
PHILIPPOU, A.N. (1986). Distributions and
Fibonacci polynomials of order k, longest runs, and reliability of
consecutive-k-out-of-n:F systems. In Fibonacci Numbers and Their Applications
(edited by A.N. Philippou, G.E. Bergum and A.F. Horadam), 203-227, Reidel, 59.
PHILIPPOU, A.N. and
F.S. MAKRI (1986). Successes, runs and longest runs. Statistics and Probability Letters 4,
211-215 (Abstract).
Zbl 0594.62013 (Reviewer: B.K. Horkelheimer), MR0848720 (88c:60035b) (Reviewer:
Endre Csαki) 60.
PHILIPPOU, A.N. and
F.S. MAKRI (1985). Longest success runs and Fibonacci-type polynomials. (Full text in)
The Fibonacci Quarterly 23(4), 338-346. Zbl 0575.60022,
MR0811316 (87c:60010) (Reviewer: Mauro Cerasoli) 61.
PHILIPPOU, A.N., C.
GEORGHIOU and G.N. PHILIPPOU (1985). Fibonacci-type polynomials of order k
with probability applications. (Free full text in) The Fibonacci Quarterly 23(2),
100-105. Zbl 0563.10014, MR0797126 (86j:11020) (Reviewer:
G. L. Cohen) 62.
PHILIPPOU, A.N.
(1984). The
negative binomial distribution of order k and some of its properties
(abstract).
Biometrical Journal 26, 784-789. Zbl
0566.60014, MR0775198 (86g:62034) (Reviewer: Javad
Behboodian) 63.
PHILIPPOU, A.N.
(1984). Asymptotically optimal tests for the logarithmic, logistic and Cauchy
distributions based on the concept of contiguity. In Asymptotic Statistics 2
(edited by P. Mandl and M. Huskova),
379-386, Elsevier, 64.
PHILIPPOU, A.N. and
G.N. PHILIPPOU (1981/84). The Pell Sequence of Order
K, Multinomial Coefficients, and Probability. Bulletin of the Greek Mathematical Society 22, 74-84. Zbl 0597.10010, MR0816174. 65.
PHILIPPOU, A.N.
(1983). A note on the Fibonacci sequence of order k and multinomial
coefficients. (Free full text in) Fibonacci Quarterly 21(2), 82-86. Zbl 0511.10009,
MR0708363 (84g:10024) (Reviewer: Louis Shapiro) 66.
PHILIPPOU, A.N. [Андреас Н.Филиппу] (1983). Poisson and compound Poisson distributions of order k and some of their properties
(PDF
file in Russian). Zap Nauchn Sem LOMI 130, 175-180. Zbl
0529.60010, MR0723684 (86c:62015) Translated in the Journal of Mathematical
Sciences 27 (6), 3294-3297, 1984 (N.A. Filippu) free
abstract. 67.
GEORGHIOU, C. and
A.N. PHILIPPOU (1983). Harmonic sums and the zeta function. (Free full text in) The Fibonacci Quarterly 21(1), 29-36. Zbl 0502.10025,
MR0696676 (84f:10050) (Reviewer: V. C. Harris) 68.
PHILIPPOU, A.N., C.
GEORGHIOU and G.N. PHILIPPOU (1983). A generalized geometric distribution and
some of its properties. Statistics and Probability Letters 1, 171-175 (Abstract). Zbl 0517.60010,
MR0709243 (84I62023) (Reviewer: M. G. Akritas) 69.
PHILIPPOU, A.N., C.
GEORGHIOU and G.N. PHILIPPOU (1983). Fibonacci polynomials of order k,
multinomial expansions and probability. [PDF] from hindawi.com International Journal of Mathematics and Mathematical Sciences 6, 545-550. Zbl 0524.10008,
MR0712573 (85c:11019) (Reviewer:
J. B. Kelly) 70.
PHILIPPOU, A.N. and
A.A. MUWAFI (1982). Waiting for the k-th consecutive
success and the Fibonacci sequence of order k. (Free full text in the)
Fibonacci Quarterly 20 (1),
28-32. Zbl 0476.60008, MR0660756 (83f:10011) 71.
MUWAFI, A.A. and A.N.
PHILIPPOU (1981). An Arabic version of Eratosthenes on mean proportional. Journal of the History of Arabic Sciences 5,
147-174. MR0687605 (84h01005) (Reviewer: J. L. Berggren) 72.
DROSSOS, C.A. and
A.N. PHILIPPOU (1980). A note on minimum distance estimates [PDF] from ism.ac.jp. Annals of the Institute of Statistical Mathematics 32, 121-123. Zbl 0458.62034,
MR0574156 (82k:62015) 73.
PHILIPPOU, A.N.
(1978). A
Note on Convergence in Probability Uniformly in a Parameter. Bulletin of the Greek
Mathematical Society 19, 260-264., Zbl
0411.60009, MR0528172 (80g:60021) (Reviewer: Reinhard Michel) 74.
PHILIPPOU, A.N.
(1978). Asymptotic normality of the maximum likelihood estimate
in arbitrary stochastic processes (abstract). TEST 29, 71-82. Zbl 0435.62086,
MR0533256 (80h:62068) (Reviewer: Paul I. Nelson) 75.
PHILIPPOU, A.N.
(1977). On the existence and consistency of the MLE in the dependent case. Applications
and Research in Information Systems and Sciences 2 (edited by D.G. Lainiotis and T.S. Tzannes)
386-390, Hemisphere, 76.
PHILIPPOU, A.N.
(1976). On the existence and consistency of the MLE in the INID case. Mathematica Balkanica 6,
161-167. Zbl 0423.62027,
MR0544121(80g:62017) 77.
SCHUSTER, E.F. and A.N. Philippou (1975). The
odds in some odd-even games. American Mathematical Monthly 82, 646-648. Zbl 0307.90098, MR0370693 (51# 6909) (Reviewer:
Frank K. Hwang) 78.
PHILIPPOU, A.N. and
G.G. ROUSSAS (1975). Asymptotic normality of the maximum likelihood estimate in
the independent not identically distributed case. ►ism.ac.jp
[PDF]. Annals of the Institute of Statistical Mathematics 27, 45-55 Zbl 0359.62016, MR0375589 (51 #11780) (Reviewer:
Reinhard Michel) 79.
PHILIPPOU, A.N.
(1974). Asymptotically
Most Powerful Unbiased Tests in the Independent not Identically
Distributed Case. Bulletin de la Société Mathématique de Grèce 15, 170-180. Zbl 0324.62018, R0652555
(58 #31531). 80.
PHILIPPOU, A.N. and
G.G. ROUSSAS (1974). A
note on the multivariate logarithmic series distribution
(abstract). Communications in Statistics 3, 469-472. Zbl
0281.62015, MR0362714 (50 # 15154) (Reviewer: S. Kotz) 81.
PHILIPPOU, A.N. (1973). Asymptotically
optimal tests in the independent not identically distributed case. Bulletin de la Société Mathématique de Grèce 14, 98-121. Zbl 0295.62020, MR0356326 (50
#8796) (Reviewer: Reinhard Michel)
82.
PHILIPPOU, A.N.
(1973). Exponential approximation of the likelihood function and hypotheses
testing in the independent not identically distributed case. Communications in Statistics 2, 401-418. Zbl
0271.62040, MR0341706 (49 #6452) (Reviewer: B. L. S. Prakasa Rao) 83.
PHILIPPOU, A.N. and
G.G. ROUSSAS (1973). Asymptotic distribution of the likelihood function in the
independent not identically distributed case PDF
File. The Annals of Statistics 1, 454-471. Zbl
0258.62011, MR0381084(52 #1981) (Reviewer:
Christian Hipp) 84.
PHILIPPOU, A.N. and R.C. DAHIYA (1970). Some instructive
examples where the maximum likelihood estimator of the population mean is not
the sample mean. The American Statistician 24(3), 26-27. 85.
PROBLEM 11-005.
Proposed by A.N. Philippou and A. Saghafi. A
Conjecture on the Modes of the Poisson Distribution of
Order k (Open). Problems and Solutions (Probability and Statistics) SIAM, 2011. 86.
PROBLEM 87-5.
Proposed by A.N. Philippou Asymptotic
Reliability of Consecutive k-out-of-n: F Systems. SIAM Review 29 (1987), 123-124 and
solved by C. Georghiou and A. N. Philippou. SIAM
Review 30 (1988), 133-134. 87.
PROBLEM 85-1. Proposed by A.N. Philippou. Modes of a Random Variable. SIAM Review 27 (1985). It remains unsolved. For
partial advancements see LUO,
Xinhua (1987) [Poisson distribution of order k and its properties. (English) Kexue Tongbao, Foreign
Lang. Ed. 32, 873-874, Zbl 0632.60016, MR914327 (89c:60017) (Reviewer: A.N. Philippou)], GEORGHIOU,
PHILIPPOU and SAGHAFI (2013), and PHILIPPOU (2014). 88.
PHILIPPOU, A. N. and
J. HADJICHRISTOS (1984). A note on the Poisson distribution of order k and a
result of Raikov. The Institute of Mathematical Statistics Bulletin 13, 368. EDITORIAL WORK AND FURTHER PUBLICATIONS
A. He has been a Co-Editor of the
following seven books, proceedings of international conferences, published by
Reidel and Kluwer Academic Publishers. The first one
has also been republished as a paperback as well (see 8 below). 1.
Philippou, Andreas N.(ed.); Bergum, Gerald
E.(ed.); Horadam, Alwyn F.(ed.) Fibonacci
numbers and their applications (Papers from the 1st International
Conference on Fibonacci Numbers and their Applications, held at the University
of Patras, Greece, August 27-31, 1984). Mathematics and Its Applications, 28.
Dordrecht etc.: D. Reidel. XXIV, 304 p. (1986). 2.
Philippou, Andreas N.(ed.);
Bergum, Gerald E.(ed.); Horadam, Alwyn F.(ed.) Applications
of Fibonacci Numbers. Proceedings of the second international conference on
Fibonacci numbers and their applications, 3.
Bergum, Gerald E.(ed.);
Philippou, Andreas N.(ed.); Horadam, Alwyn F.(ed.)
Applications of Fibonacci numbers. Volume 3: Proceedings of the third
international conference on Fibonacci numbers and their applications, 4.
Bergum, Gerald E.(ed.);
Philippou, Andreas N.(ed.); Horadam, Alwyn F.(ed.) Applications of Fibonacci Numbers.
Volume 4: Proceedings of the fourth international conference on Fibonacci
numbers and their applications, Wake Forest University, Winston-Salem, NC, USA,
July 30-August 3, 1990. Dordrecht etc.: Kluwer
Academic Publishers. xxiv, 313 p. (1991). 5.
Bergum, Gerald E.(ed.);
Philippou, Andreas N.(ed.); Horadam, Alwyn F.(ed.)
Applications of Fibonacci numbers. Volume 5: Proceedings of the fifth
international conference on Fibonacci numbers and their applications, 6.
Bergum, Gerald E.(ed.);
Philippou, Andreas N.(ed.); Horadam, Alwyn F.(ed.)
Applications of Fibonacci numbers. Volume 6: Proceedings of the sixth
international research conference on Fibonacci numbers and their applications,
Washington State University, Pullman, WA, USA, July 18-22, 1994. 7.
Bergum, Gerald E.(ed.);
Philippou, Andreas N.(ed.); Horadam, Alwyn F.(ed.)
Applications of Fibonacci numbers. Volume 7: Proceedings of the 7th
international research conference on Fibonacci numbers and their applications, 8.
Fibonacci
Numbers and Their Applications, by Andreas N. Philippou (Editor), et
al (Paperback - 2001), Reidel. B. He has proposed and /or solved 24 elementary or advanced
problems
(see, e.g. 79 - 81 above, AMM E2937, AMM (1978) 1055 and Problems Found
(8109 (FQ H-348), 8119 (FQ H-358), 8124 (FQ H-363)-unsolved, 8129 (FQ H-368),
8134 (FQ H-373), 8140 (FQ H-379), 8143 (FQ H-382), 8150 (FQ H-389)), which were published in the following refereed journals:
The American Mathematical Monthly
The Fibonacci Quarterly Mathematics Magazine
Society of Industrial and Applied Mathematics Review
The solutions to five of them were unknown when proposed, both to the Proposer,
as well as to the editors of the respective journal. Two of them are still
unsolved. C. He has translated into Greek, in co-operation with G.N.
Philippou, the book of V.E. Hoggatt Fibonacci and
Lucas Numbers and the booklet of the American Statistical Association What is a Survey? He has also published five
papers in Greek in professional journals of the Hellenic Mathematical
Association and four papers in English in the Proceedings of the Greek
Statistical Institute. |
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