Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

The Distributions of Sums for Shanker, Akash, Ishita, Pranav, Rani, and Ram Awadh

Version 1 : Received: 25 August 2021 / Approved: 27 August 2021 / Online: 27 August 2021 (13:55:49 CEST)

How to cite: Yaghoubi, A. The Distributions of Sums for Shanker, Akash, Ishita, Pranav, Rani, and Ram Awadh. Preprints 2021, 2021080523 (doi: 10.20944/preprints202108.0523.v1). Yaghoubi, A. The Distributions of Sums for Shanker, Akash, Ishita, Pranav, Rani, and Ram Awadh. Preprints 2021, 2021080523 (doi: 10.20944/preprints202108.0523.v1).

Abstract

In statistics and probability theory, one of the most important statistics is the sums of random variables. After introducing a probability distribution, determining the sum of n independent and identically distributed random variables is one of the interesting topics for authors. This paper presents the probability density functions for the sum of n independent and identically distributed random variables such as Shanker, Akash, Ishita, Pranav, Rani, and Ram Awadh. In order to determine all aforementioned distributions, the problem-solving methods are applied which is based on the change-of-variables technique.

Keywords

Akash distribution; Ishita distribution; Pranav distribution; Ram Awadh distribution; Rani ‎distribution; Shanker distribution

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