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Size Biased X-Geometric with Statistical Properties and Applications

Brijesh P. Singh, Tanya Singh, Utpal Dhar Das

Abstract



In this study, a weighted distribution named Size Biased X-Geometric Distribution (SBXGD) is introduced and explored. Various statistical properties along with Lorenz curve, stochastic ordering and maximum likelihood estimation are discussed . Also bias and mean square
error for the parameter is estimated through simulation. Some real data sets are used to examine the suitability of model.

Keywords


Size biased X-Geometric distribution; Lorenz curve; stochastic ordering; maximum likelihood estimation.

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