Open AccessModified Moments and Maximum Likelihood Estimators for Parameters of Erlang Truncated Exponential Distribution
Author(s) -
Kannadasan Karuppaiah,
Vinoth Raman
Publication year - 2021
Publication title -
indian journal of advanced mathematics
Language(s) - English
Resource type - Journals
ISSN - 2582-8932
DOI - 10.54105/ijam.b1106.041121
Subject(s) - kurtosis , estimator , mathematics , erlang distribution , exponential distribution , scale parameter , skewness , exponential function , m estimator , erlang (programming language) , statistics , shape parameter , maximum likelihood , gamma distribution , mathematical analysis , computer science , functional programming , theoretical computer science
This study derives the parameter estimation in truncated form of a continuous distribution which is comparable to Erlang truncated exponential distribution. The shape and scale parameter will predict the whole distributions properties. Approximation will be useful in making the mathematical calculation an easy understand for non-mathematician or statistician. An explicit mathematical derivation is seen for some properties of, Method of Moments, Skewness, Kurtosis, Mean and Variance, Maximum Likelihood Function and Reliability Analysis. We compared ratio and regression estimators empirically based on bias and coefficient of variation.