Probability Distribution of Sum of Sides of a Geometric Figure Indexed in Arithmetic Sequence
probability distribution, geometric random variable, moments, arithmetic sequence
Abstract
In this paper we studied the probability distribution associated with sums of sides of any geometric figure indexed in a finite set of Arithmetic Sequence, motivated by the work of researchers in this direction, we derived a probability distribution of an arbitrary sides of geometric figure indexed in a finite set of Arithmetic Sequence with its equivalent recursion form and then give some of its Properties. The results obtained in this paper trivialized and compliment known results in the literatures.
Downloads
How to Cite
References
D Ailing (1993) Estimation of Hit Number. 27(3), 605.
Sigeo Aki (1985) Discrete distributions of orderk on a binary sequence. 37(2), 205-224.
Aki (1984) On discrete distribution of order k on a binary sequence. 37, 431-440.
K Ashok, J Dalpatadu, A Lucas (2011) The Probability Distribution of the Sum of Several Dice: Slot Applications. 15(2), 109-118.
K Balasubramanian, Román Viveros, N Balakrishnan (1995) Some Discrete Distributions Related to Extended Pascal Triangles. 33(5), 415-425.
Boris Bondarenko (1993) Generalized Pascal Triangles and Pyramids Their Fractals Graphs and Applications. 31(2), 162-164.
Richard Bollinger (1986) A Note on Pascal- T Triangles, Multinomial Coefficients, and Pascal Pyramids. 24(2), 140-144.
Richard Bollinger (1984) Fibonacci k -Sequences, Pascal- T Triangles, and k -In-A-Row Problems. 22(2), 146-151.
R Bollinger (1993) Extended Pascal Triangles. 66, 87-94.
Richard Bollinger, Charles Burchard (1990) Lucas's Theorem and Some Related Results for Extended Pascal Triangles. 97(3), 198-204.
Spiros D. Dafnis, Frosso S. Makri, Andreas N. Philippou (2007) Restricted occupancy of s kinds of cells and generalized Pascal triangles. 45(4), 347-356.
A De Moivre (1756) The Doctrine of Chances.. 1-30.
Cyrus Derman, Gerald Lieberman, Sheldon Ross (1982) On the Consecutive-k-of-n:F System. R-31(1), 57-63.
S Dharmadhikari, K Joag-Dev (1988) Unimodality, Convexity, and Applications.
W Feller (1968) An Introduction to Probability Theory and Its Applications. 1.
R Fisher (1973) Statistical Methods for Research Workers. xxxv-xxxviii.
J Freund (1956) Restricted Occupancy Theory-A Generalization of Pascal's Triangle. 63(1), 20-27.
Hyman Gabai (1970) Generalized Fibonacci k-Sequences. 8(1), 31-38.
R Hogg, A Craig (1978) Introduction to Mathematical Statistics.
J Kalbfleisch, D Sprott (1974) Inferences about Hit Number in a Virological Model. 30(1), 199.
Frosso Makri, Andreas Philippou (2005) On binomial and circular binomial distributions of orderk forl-overlapping success runs of lengthk. 46(3), 411-432.
Frosso Makri, Andreas Philippou, Zaharias Psillakis (2007) Polya, Inverse Polya, and Circular Polya Distributions of Order k for l -Overlapping Success Runs. 36(4), 657-668.
Frosso Makri, Andreas Philippou, Zaharias Psillakis (2007) Shortest and longest length of success runs in binary sequences. 137(7), 2226-2239.
O Okoli (2015) Abstracts. 15(2), 399-402.
O Okoli, George A. Osuji, Chrisogonus Onyekwere (2016) Generalized Inverse Power Sujatha Distribution with Applications. 4(4), 11-25.
O Okoli (2017) Modified Extended Binomial-Type Probability Distribution Function. 2.
O Okoli (2017) Approximations of the binomial distribution. 2, 141-180.
Richard Ollerton, Anthony Shannon (1998) Some Properties of Generalized Pascal Squares and Triangles. 36(2), 98-109.
R Ollerton, A Shannon (2005) Further Properties of Generalized Binomial Coefficient k -extensions. 43(2), 124-129.
John Panaretos, Evdokia Xekalaki (1986) On some distributions arising from certain generalized sampling schemes. 15(3), 873-891.
John Panaretos, Evdokia Xekalaki (1986) On generalized binomial and multinomial distributions and their relation to generalized Poisson distributions. 38(2), 223-231.
A Philippou, A Muwafi (1982) Waiting for the K th Consecutive Success and The Fibonacci Sequence of Order K. 20(1), 28-32.
A Philippou (1984) The Negative Binomial Distribution of Orderkand Some of Its Properties. 26(7), 789-794.
A Philippou, C Georghiou, G Philippou (1983) A generalized geometric distribution and some of its properties. 1, 171-175.
Published
2019-05-29
Issue
Section
License
Copyright (c) 2019 Authors and Global Journals Private Limited
This work is licensed under a Creative Commons Attribution 4.0 International License.