Title

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 Department

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

Print

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

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