On using recurrence formulas of selected discrete probability distributions
Date of Publication
1997
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This thesis presents an alternative way of generating first moments of the selected discrete probability distributions through the use of the recurrence formulas. The Polya-Eggenberger distribution, which constitutes a hierarchy of family composed of special discrete distributions is introduced in this paper. The recurrence formulas of these distributions are derived using the Polya-Eggenberger recurrence formula and also the relationships that hold with the members of the family. Also, the first moments of these distributions are also obtained using the relationships of the members of the Polya-Eggenberger family. All the equations and formulas in this thesis are results given by J. Wanzer Drane, Suhua Cao, Lixia Wang, and T. Postelnicu in their article Limiting Forms of Probability Mass Functions via Recurrence Formulas . The researchers provided the proofs and derivations of the equations.
Abstract Format
html
Language
English
Format
Accession Number
TU08300
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
38 leaves
Keywords
Distribution (Probability theory); Mathematics--Formulae; Probabilities
Recommended Citation
Farcon, M. A., & Salud, S. D. (1997). On using recurrence formulas of selected discrete probability distributions. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16440
