Parameter Estimation Methods and Applications of the Power Topp-Leone Distribution

Abstract

We display the power Topp-Leone (PTL) distribution with two parameters. The following major features of the PTL distribution are investigated: quantile measurements, certain moment’s measures, residual life function, and entropy measure. Maximum likelihood, least squares, Cramer von Mises, and weighted least squares approaches are used to estimate the PTL parameters. A numerical illustration is prepared to compare the behavior of the achieved estimates. Data analysis is provided to scrutinize the flexibility of the PTL model matched with Topp-Leone distribution.

Keywords

• Cramer von Mises estimators
• Maximum likelihood estimators
• Moments
• Topp-Leone distribution

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