Modified Moments and Maximum Likelihood Estimators for Parameters of Erlang Truncated Exponential Distribution
Kannadasan Karuppaiah1, Vinoth Raman2
1Kannadasan Karuppaiah, Assistant Professor, Department of Community Medicine, Melmaruvathur Adhiparasakthi Institute of Medical Sciences and Research, Melmaruvathur – 603319, Tamilnadu, India.
2Vinoth 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.
Manuscript received on 04 April 2021 | Revised Manuscript received on 08 April 2021 | Manuscript Accepted on 15 April 2021 | Manuscript published on 30 April 2021 | PP: 34-37 | Volume-1 Issue-1, April 2021 | Retrieval Number:100.1/ijam.B1106101221 | DOI: 10.54105/ijam.B1106.041121
Open Access | Ethics and Policies | Cite | Mendeley | Indexing and Abstracting
© The Authors. Published by Lattice Science Publication (LSP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
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.
Keywords: Erlang-Truncated Exponential Distribution, Maximum Likelihood Function, Moments, Moment Generating Function, Reliability Analysis.
Scope of the Article: Probability and Statistics