The quantile-based entropy measures possess some unique properties than their distribution function approach.The present communication deals with the study of the quantile-based Shannon entropy for record statistics.I...The quantile-based entropy measures possess some unique properties than their distribution function approach.The present communication deals with the study of the quantile-based Shannon entropy for record statistics.In this regard a generalized model is considered for which cumulative distribution function or probability density function does not exist and various examples are provided for illustration purpose.Further we consider the dynamic versions of the proposed entropy measure for record statistics and also give a characterization result for that.At the end,we study F^(α)-family of distributions for the proposed entropy measure.展开更多
In this paper, recursive equations are obtained for compound distribution with the number of claims belonging to (a, b)-family and the severity distribution of the mixed type. Numerical methods to solve these equation...In this paper, recursive equations are obtained for compound distribution with the number of claims belonging to (a, b)-family and the severity distribution of the mixed type. Numerical methods to solve these equations are presented, and some numerical results are given.展开更多
文摘The quantile-based entropy measures possess some unique properties than their distribution function approach.The present communication deals with the study of the quantile-based Shannon entropy for record statistics.In this regard a generalized model is considered for which cumulative distribution function or probability density function does not exist and various examples are provided for illustration purpose.Further we consider the dynamic versions of the proposed entropy measure for record statistics and also give a characterization result for that.At the end,we study F^(α)-family of distributions for the proposed entropy measure.
基金This work was supported by the National Natural Science Foundation of China(Grant Nos.19831020&10071003).
文摘In this paper, recursive equations are obtained for compound distribution with the number of claims belonging to (a, b)-family and the severity distribution of the mixed type. Numerical methods to solve these equations are presented, and some numerical results are given.
