Jerin Paul | University of Kerala (original) (raw)
Research Scholar, Department of Statistics, University of Kerala, Trivandrum, India
Third Rank for MSc. Statistics, M. G. University, Kottayam, Kerala
Awardee of "ASPIRE Scholarship", Instituted by Govt. Of Kerala
Awardee of "Maulana Azad Fellowship" (Research Fellowship), UGC, India
Supervisors: P. Yageen Thomas
Phone: +919961330400/+9400528251
Address: Jerin PaulResearch ScholarDepartment of StatisticsUniversity of KeralaTrivandrum, Pin:695581Kerala, India
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Papers by Jerin Paul
In this paper we derive Tsallis entropy of generalized(k)record values and analyse some of its im... more In this paper we derive Tsallis entropy of generalized(k)record values and analyse some of its important properties. We establish some bounds for the Tsallis entropy of generalized(k)record values. We generate a characterization result based on the properties of Tsallis entropy of generalized(k)record values for exponential distribution. We further establish some distribution free properties of Tsallis discrimination information between distribution of generalized(k)record values and the parent distribution.We extend the concept of Tsallis entropy to the concomitants of generalized(k)record values arising from the Farlie-Gumbel-Morgenstern (FGM) family of bivariate distributions. Also we consider Residual Tsallis Entropy and used it to describe some properties of generalized(k)record values.
In this paper we study the generalized lower(k)record values arising from power function distribu... more In this paper we study the generalized lower(k)record values arising from power function distribution. Some properties of generalized lower(k)record values which characterize the power function distribution have been established. Also some distribu-tional properties of generalized lower(k)record values arising from power function distribution are studied. The applications of these properties are further illustrated in obtaining the product moments of certain statistics based on generalized lower(k)record values.
In this paper we study the generalized upper(k)record values arising from Weibull distribution. E... more In this paper we study the generalized upper(k)record values arising from Weibull distribution. Expressions for the moments and product moments of those generalized upper(k)record values are derived. Some properties of generalized upper(k)record values which characterize the Weibull distribution have been established. Also some distributional properties of generalized upper(k)record values arising from Weibull distribution are considered and used for suggesting an estimator for
the shape parameter of Weibull distribution. The location and scale parameters are estimated using the Best Linear Unbiased Estimation procedure. Prediction of a future record using Best Linear Unbiased Predictor has been studied. A real life data is used to illustrate the results generated in this work.
In this paper we study the generalized lower(k)record values arising from the Fréchet distributio... more In this paper we study the generalized lower(k)record values arising from the Fréchet distribution. Expressions for the moments and product moments of those generalized lower(k)record values are derived. Some properties of generalized lower(k) record values which characterize the Fréchet distribution have been established. Also some distributional properties of generalized lower(k)record values arising from the Fréchet distribution are considered and used for suggesting an estimator for the shape parameter of the Fréchet distribution. The location and scale parameters are estimated using the Best Linear Unbiased Estimation procedure. Prediction of a future record using the Best Linear Unbiased Predictor has been studied. A real life data set is used to illustrate the results generated in this work.
IAPQR Transactions, Jun 20, 2013
In this paper we derive the Rényi entropy of Generalized Record Values and hence we establish the... more In this paper we derive the Rényi entropy of Generalized Record Values and hence we establish the characterization property of exponential distributions function within a specified family of distribution considered.
In this paper we derive Tsallis entropy of generalized(k)record values and analyse some of its im... more In this paper we derive Tsallis entropy of generalized(k)record values and analyse some of its important properties. We establish some bounds for the Tsallis entropy of generalized(k)record values. We generate a characterization result based on the properties of Tsallis entropy of generalized(k)record values for exponential distribution. We further establish some distribution free properties of Tsallis discrimination information between distribution of generalized(k)record values and the parent distribution.We extend the concept of Tsallis entropy to the concomitants of generalized(k)record values arising from the Farlie-Gumbel-Morgenstern (FGM) family of bivariate distributions. Also we consider Residual Tsallis Entropy and used it to describe some properties of generalized(k)record values.
In this paper we study the generalized lower(k)record values arising from power function distribu... more In this paper we study the generalized lower(k)record values arising from power function distribution. Some properties of generalized lower(k)record values which characterize the power function distribution have been established. Also some distribu-tional properties of generalized lower(k)record values arising from power function distribution are studied. The applications of these properties are further illustrated in obtaining the product moments of certain statistics based on generalized lower(k)record values.
In this paper we study the generalized upper(k)record values arising from Weibull distribution. E... more In this paper we study the generalized upper(k)record values arising from Weibull distribution. Expressions for the moments and product moments of those generalized upper(k)record values are derived. Some properties of generalized upper(k)record values which characterize the Weibull distribution have been established. Also some distributional properties of generalized upper(k)record values arising from Weibull distribution are considered and used for suggesting an estimator for
the shape parameter of Weibull distribution. The location and scale parameters are estimated using the Best Linear Unbiased Estimation procedure. Prediction of a future record using Best Linear Unbiased Predictor has been studied. A real life data is used to illustrate the results generated in this work.
In this paper we study the generalized lower(k)record values arising from the Fréchet distributio... more In this paper we study the generalized lower(k)record values arising from the Fréchet distribution. Expressions for the moments and product moments of those generalized lower(k)record values are derived. Some properties of generalized lower(k) record values which characterize the Fréchet distribution have been established. Also some distributional properties of generalized lower(k)record values arising from the Fréchet distribution are considered and used for suggesting an estimator for the shape parameter of the Fréchet distribution. The location and scale parameters are estimated using the Best Linear Unbiased Estimation procedure. Prediction of a future record using the Best Linear Unbiased Predictor has been studied. A real life data set is used to illustrate the results generated in this work.
IAPQR Transactions, Jun 20, 2013
In this paper we derive the Rényi entropy of Generalized Record Values and hence we establish the... more In this paper we derive the Rényi entropy of Generalized Record Values and hence we establish the characterization property of exponential distributions function within a specified family of distribution considered.