Modified Moments and Maximum Likelihood Estimators for Parameters of Erlang Truncated Exponential Distribution

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Published: Feb 14, 2024
DOI: https://doi.org/10.54105/ijam.B1106.041121
Keywords:
Erlang-Truncated Exponential Distribution, Maximum Likelihood Function, Moments, Moment Generating Function, Reliability Analysis

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Kannadasan Karuppaiah
Assistant Professor, Department of Community Medicine, Melmaruvathur Adhiparasakthi Institute of Medical Sciences and Research, Melmaruvathur - 603 319. Tamilnadu, India.
Vinoth Raman
Assistant Professor, Department of Quality Measurement and Evaluation, Deanship of Quality and Academic Accreditation, Imam Abdulrahman Bin Faisal University, P. O. Box 1982, Dammam – 31441. Saudi Arabia.

Abstract

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.

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[1]
Kannadasan Karuppaiah and Vinoth Raman , Trans., “Modified Moments and Maximum Likelihood Estimators for Parameters of Erlang Truncated Exponential Distribution”, IJAM, vol. 1, no. 1, pp. 34–37, Feb. 2024, doi: 10.54105/ijam.B1106.041121.
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Vol. 1 No. 1 (2021): Volume-1 Issue-1, April 2021
Section
Articles
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How to Cite

[1]
Kannadasan Karuppaiah and Vinoth Raman , Trans., “Modified Moments and Maximum Likelihood Estimators for Parameters of Erlang Truncated Exponential Distribution”, IJAM, vol. 1, no. 1, pp. 34–37, Feb. 2024, doi: 10.54105/ijam.B1106.041121.
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