Parameter Estimation Methods and Applications of the Power Topp-Leone Distribution
Mohammed Elgarhy, Amal S. Hassan, Heba F. Nagy
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.
Topics & Concepts
MathematicsStatisticsNon-linear least squaresApplied mathematicsLeast-squares function approximationHalf-normal distributionResidual sum of squaresQuantile functionMaximum likelihoodGoodness of fitLogarithmEconometricsMathematical optimizationExplained sum of squaresProbability distributionMoment-generating functionMathematical analysisAsymptotic distributionEstimatorStatistical Distribution Estimation and ApplicationsProbabilistic and Robust Engineering DesignReliability and Maintenance Optimization