Misclassified size-biased modified power series distribution and its applications

Title:

Misclassified size-biased modified power series distribution and its applications

Creator:

Hassan, Anwar and Ahmad, Peer Bilal

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:e2e5e4e0-0ea9-4be5-9b53-dfb2e0837e7a
uuid:e2e5e4e0-0ea9-4be5-9b53-dfb2e0837e7a
doi:10.21136/MB.2009.140633

Subject:

misclassification, size-biased modified power series distribution, raw moments, central moments, factorial moments, variance ratio, inverted parabola, generalized Poisson, and generalized negative binomial

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

A misclassified size-biased modified power series distribution (MSBMPSD) where some of the observations corresponding to x = 2 are misclassified as x = 1 with probability α, is defined. We obtain its recurrence relations among ordinary, central and factorial moments and also for some of its particular cases like the size-biased generalized negative binomial (SBGNB) and the size-biased generalized Poisson (SBGP) distributions. We also discuss the effect of the misclassification on the variance for MSBMPSD and illustrate an example for size-biased generalized negative binomial distribution. Finally, an example is presented for the size-biased generalized Poisson distribution to illustrate the results, and a goodness of fit test is also done using the method of moments.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

1-17

Source:

Mathematica bohemica | 2009 Volume:134 | Number:1

Harvested from:

CDK

Metadata only:

false