Maximum Likelihood and Least Square Estimation Methods for Weibull Distribution: Simulation Study

Odukoya E. A.; Aladejana A. E.; Ilesanmi A. O.

Title:
Maximum Likelihood and Least Square Estimation Methods for Weibull Distribution: Simulation Study

Authors:
Ilesanmi A. O. | Odukoya E. A. | Aladejana A. E.

Cite This Article :

Ilesanmi A. O. | Odukoya E. A. | Aladejana A. E. "Maximum Likelihood and Least Square Estimation Methods for Weibull Distribution: Simulation Study" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-9 | Issue-2, April 2025, pp.339-346, URL: https://www.ijtsrd.com/papers/ijtsrd76164.pdf

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Abstract :
This study investigates the performance of Maximum Likelihood Estimation (MLE) and Least Squares (LS) methods in estimating the parameters of Weibull distribution using various sample sizes. The bias and Mean Squared Error (MSE) of both methods are calculated to assess their precision and reliability using simulated data. The results indicate that both MLE and LS exhibit noticeable biases and higher MSE values for small sample sizes (n = 10), with MLE consistently offering more accurate estimates than LS. As sample sizes increase (n = 10, 30, 50, 100, 150), both methods show improved performance, with bias and MSE values converging towards zero. The MLE method, in particular, demonstrates superior efficiency, consistently providing lower bias and MSE across all sample sizes and parameter values. This study highlights the importance of sample size in parameter estimation and suggests that MLE is a more reliable method for estimating Weibull distribution parameters, particularly as the sample size increases.

Keywords :
Weibull, Maximum likelihood, Least Square, Mean Square Error, Bias

Publication Details:

Unique Identification Number : IJTSRD76164

Published In : Volume-9 | Issue-2, April 2025

Page Number(s) : 339-346

Publisher Name : IJTSRD | www.ijtsrd.com | E-ISSN 2456-6470

Copyright © 2019 by author(s) and International Journal of Trend in Scientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/by/4.0)

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