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On Some Length-biased Distributions: An Overview

Jismi Mathew

Abstract


Abstract

This paper review works on some length-biased distributions. The length-biased distributions received much attention in the literature since they occur naturally in many situations where it is not possible to work with a truly random sample from the population of interest. Some important length-biased distributions studied in the recent literature are length-biased versions of Inverse Gaussian, Log-normal, Beta Type I and Type II, Weighted Generalized Rayleigh and Birnbaum-Saunders distributions are discussed.

Keywords: Length-biased distribution, method of moments, maximum likelihood, and weight function

Cite this Article

Jismi Mathew. On Some Length Biased Distributions: An Overview. Research & Reviews: Journal of Statistics. 2020; 9(1): 27–47p.



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DOI: https://doi.org/10.37591/rrjost.v9i1.2509

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