Structural properties of size biased Gamma distribution

Size-Biased Poisson-Garima Distribution with Applications

The detailed discussion about its properties, estimation of parameter, and applications has been discussed by Shanker [1] and it has been shown that it is better than Poisson and PoissonLindley distributions for modeling count data in various fields of knowledge. The PGD arises from the Poisson distribution when its parameter λ follows Garima distribution introduced by Shanker [2] having probab...

On Some Properties and Estimation of Size-Biased Polya-Eggenberger Distribution

Estimation of Parameters of Misclassified Size Biased Borel Distribution

A misclassified size-biased Borel Distribution (MSBBD), where some of the observations corresponding to x = c + 1 are wrongly reported as x = c with probability α, is defined. Various estimation methods like the method of maximum likelihood (ML), method of moments, and the Bayes estimation for the parameters of the MSBB distribution are used. The performance of the estimators are studied using ...

Some properties of generalized gamma distribution

In this paper, the generalized gamma (GG) distribution that is a flexible distribution in statistical literature, and has exponential, gamma, and Weibull as subfamilies, and lognormal as a limiting distribution is introduced. The power and logarithmic moments of this family is defined. A new moment estimation method of parameters of GG family using it’s characterization is presented, this metho...

Estimation in Misclassified Size-Biased Generalized Negative Binomial Distribution

In this paper, we are concerned with the situations, where sometimes value two is reported erroneously as one in relation to size biased generalized negative binomial distribution (SBGNBD) with probability αα. We have obtained the Maximum likelihood estimator and Bayes estimator under general entropy loss function. A simulated study is carried out to access the performance of the maximum likeli...