An Alternative Approach of Binomial and Multinomial Distributions

DOI

10.2991/jsta.2017.16.2.11How to use a DOI?

Keywords

Generalized Binomial Distribution, Generalized Multinomial Distribution, Sampling Methods, Distributional Properties, Arithmetic Progression, Limiting Form.

Abstract

In this paper we have tried to present an alternative approach for two discrete distributions such as Binomial and Multinomial with a new concept of sampling having a more general form apart from the traditional methods of sampling. The existing distributions may be obtained as a special case of our newly suggested technique. The basic distributional properties of the proposed distributions are also been examined including the limiting form of the proposed Binomial distribution to normal distribution.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Mian Arif Shams Adnan
AU  - Md. Tareq Ferdous Khan
AU  - Md. Forhad Hossain
AU  - Abdullah Albalawi
PY  - 2017
DA  - 2017/06/01
TI  - An Alternative Approach of Binomial and Multinomial Distributions
JO  - Journal of Statistical Theory and Applications
SP  - 269
EP  - 283
VL  - 16
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2017.16.2.11
DO  - 10.2991/jsta.2017.16.2.11
ID  - Adnan2017
ER  -