Parameter Estimation of Power Function Distribution with TL-moments
Copyright policy )Parameter Estimation of Power Function Distribution with TL-moments
Accurate estimation of parameters of a probability distribution is of immense importance in statistics. Biased and imprecise estimation of parameters can lead to erroneous results. Our focus is to estimate the parameter of Power function distribution accurately because this density is now widely used for modelling various types of data. In this study, L-moments, TL-moments, LL-moments and LH-moments of Power function distribution are derived. In addition, the coefficient of variation, skewness and kurtosis are obtained by method of moments, L-moments and TL-moments. Parameters of the density are estimated using linear moments and compared with method of moments and MLE on the basis of bias, root mean square error and coefficients through simulation study. L-moments proved to be superior for the parameter estimation and this conclusion is equally true for different parametric values and sample size.
- University of Gujrat Pakistan
- Quaid-i-Azam University Pakistan
- COMSATS University Islamabad Pakistan
- National University of Colombia Colombia
Moments, Cumulant, momentos, Social Sciences, Central moment, Evolutionary biology, estadísticas de orden, 31 Colecciones de estadística general / Statistics, Estimator, Estadísticas de orden, Decision Sciences, order statistics, Skew Distributions and Applications in Statistics, Power function distribution, Probability density function, Classical mechanics, Global and Planetary Change, Physics, Statistics, Monte Carlo Simulation, distribución de función de potencias, HA1-4737, Sensitivity Analysis, Function (biology), Characterization and structure theory of statistical distributions, Physical Sciences, Moment-generating function, Statistics, Probability and Uncertainty, parameter estimation, Statistics and Probability, Skew Distributions, Skewness, Mathematical analysis, Momentos, Method of moments (probability theory), Simulación de Monte Carlo., Order statistic, Parameter estimation, FOS: Mathematics, Biology, Monte Carlo simulation, Kurtosis, Distribución de función de potencias, Distribution (mathematics), power function distribution, estimación de parámetros, Moment (physics), Applied mathematics, simulación de Monte Carlo, 51 Matemáticas / Mathematics, Parametric statistics, Global Drought Monitoring and Assessment, Environmental Science, Uncertainty Quantification and Sensitivity Analysis, moments, L-moment, Estimación de parámetros, Order Statistics, Mathematics
Moments, Cumulant, momentos, Social Sciences, Central moment, Evolutionary biology, estadísticas de orden, 31 Colecciones de estadística general / Statistics, Estimator, Estadísticas de orden, Decision Sciences, order statistics, Skew Distributions and Applications in Statistics, Power function distribution, Probability density function, Classical mechanics, Global and Planetary Change, Physics, Statistics, Monte Carlo Simulation, distribución de función de potencias, HA1-4737, Sensitivity Analysis, Function (biology), Characterization and structure theory of statistical distributions, Physical Sciences, Moment-generating function, Statistics, Probability and Uncertainty, parameter estimation, Statistics and Probability, Skew Distributions, Skewness, Mathematical analysis, Momentos, Method of moments (probability theory), Simulación de Monte Carlo., Order statistic, Parameter estimation, FOS: Mathematics, Biology, Monte Carlo simulation, Kurtosis, Distribución de función de potencias, Distribution (mathematics), power function distribution, estimación de parámetros, Moment (physics), Applied mathematics, simulación de Monte Carlo, 51 Matemáticas / Mathematics, Parametric statistics, Global Drought Monitoring and Assessment, Environmental Science, Uncertainty Quantification and Sensitivity Analysis, moments, L-moment, Estimación de parámetros, Order Statistics, Mathematics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).16 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!