This article introduces a three-parameter Lehman-type t distribution having 2 degrees of freedom,that is capable of fitting positive and negative skewed data sets.It is shown that the density and hazard functions of t...This article introduces a three-parameter Lehman-type t distribution having 2 degrees of freedom,that is capable of fitting positive and negative skewed data sets.It is shown that the density and hazard functions of the proposed distribution are uni-model.Ordinary moments,entropy measure,ordering,identifiability and order statistics are investigated.Since the quantile function is explicitly defined,quantile-based statistics are also discussed for the proposed distribution.These properties include measures of skewness and kurtosis,L-moments,quantile density and hazard functions,mean residual life function and Parzen's score function.Mechanisms of maximum likelihood,bias correction and matching of percentiles are employed for estimating the unknown parameters of the distribution.Simulation experiments are conducted to compare the performance of these three estimation methods.A real-life data set consisting of strength of glass fibres is fitted to show the adequacy of the proposed distribution over some extensions of the normal and t distributions.Parametric regression model is developed along with its parameter estimation using the maximum likelihood approach.Simulation study for the regression model is also presented that endorsed the asymptotic properties of the estimators.展开更多
The preservation/restoration of natural environment is usually entailing high cost mostly paid by citizens through taxes.The effect of these taxes is double. The direct effect is the obvious additional income for the ...The preservation/restoration of natural environment is usually entailing high cost mostly paid by citizens through taxes.The effect of these taxes is double. The direct effect is the obvious additional income for the State, and the indirect effect is anadditional income for the citizen, due to increasing tourism. Since the evaluation of this good cannot be in market terms, authorsapply a modified CVM （Contingent Valuation Method）, which is part of Experimental Economics, in order to find out the order ofconcern that people have about natural environment. Authors also, try to investigate their WTP （Willingness To Pay） for supportingactivities for preservation/restoration of three lakes in Northern Greece, in particular, lake of Ioannina, lake of Florina and lake ofKastoria. For the purpose of this research, authors use parametric and non-parametric approaches, as well as Linear Regression andLogic Models.展开更多
基金the financial support from Science and Engineering Research Board,Department of Science&Technology,Government of India,under the scheme Early Career Research Award(file no.ECR/2017/002416)Dr.Sharma also acknowledges Banaras Hindu University,Varanasi,India,for providing financial support as seed grant under the Institute of Eminence Scheme(Scheme no.Dev.6031).
文摘This article introduces a three-parameter Lehman-type t distribution having 2 degrees of freedom,that is capable of fitting positive and negative skewed data sets.It is shown that the density and hazard functions of the proposed distribution are uni-model.Ordinary moments,entropy measure,ordering,identifiability and order statistics are investigated.Since the quantile function is explicitly defined,quantile-based statistics are also discussed for the proposed distribution.These properties include measures of skewness and kurtosis,L-moments,quantile density and hazard functions,mean residual life function and Parzen's score function.Mechanisms of maximum likelihood,bias correction and matching of percentiles are employed for estimating the unknown parameters of the distribution.Simulation experiments are conducted to compare the performance of these three estimation methods.A real-life data set consisting of strength of glass fibres is fitted to show the adequacy of the proposed distribution over some extensions of the normal and t distributions.Parametric regression model is developed along with its parameter estimation using the maximum likelihood approach.Simulation study for the regression model is also presented that endorsed the asymptotic properties of the estimators.
文摘The preservation/restoration of natural environment is usually entailing high cost mostly paid by citizens through taxes.The effect of these taxes is double. The direct effect is the obvious additional income for the State, and the indirect effect is anadditional income for the citizen, due to increasing tourism. Since the evaluation of this good cannot be in market terms, authorsapply a modified CVM （Contingent Valuation Method）, which is part of Experimental Economics, in order to find out the order ofconcern that people have about natural environment. Authors also, try to investigate their WTP （Willingness To Pay） for supportingactivities for preservation/restoration of three lakes in Northern Greece, in particular, lake of Ioannina, lake of Florina and lake ofKastoria. For the purpose of this research, authors use parametric and non-parametric approaches, as well as Linear Regression andLogic Models.
