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METHODS FOR ESTIMATING THE PARAMETERS OF THE POWER FUNCTION DISTRIBUTION.

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Title: METHODS FOR ESTIMATING THE PARAMETERS OF THE POWER FUNCTION DISTRIBUTION.

Authors: azam zaka, Ahmad Saeed Akhter

Journal: Pakistan Journal of Statistics and Operation Research

HEC Recognition History
Category From To
Y 2020-07-01 2021-06-30

Publisher: Asiatic Region

Country: Pakistan

Year: 2013

Volume: 9

Issue: 2

Language: English

DOI: 10.18187/pjsor.v9i2.488

Keywords: Ridge RegressionParameter EstimationMean square error.monte carlo studytotal deviationPower function distributionsleast squares methodrelative least squares

Categories
Engineering (6276) Mathematics (5170) Statistics (8857) Parameter Estimation (33) Monte Carlo Methods (4)

Abstract

In this paper, we present some methods for estimating the parameters of the two parameter Power function distribution. We used the least squares method (LSM), relative least squares method (RELS) and ridge regression method (RR). Sampling behavior of the estimates is indicated by a Monte Carlo simulation. The objective of identifying the best estimator amongst them we use the Total Deviation (T.D) and Mean Square Error (M.S.E) as performance index. We determined the best method for estimation using different values for the parameters and different sample sizes.

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