Dinesh Kumar | Banaras Hindu University, Varanasi (original) (raw)
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Papers by Dinesh Kumar
A new life time distribution is proposed by the use of Sine function in terms of some life time d... more A new life time distribution is proposed by the use of Sine function in terms of some life time distribution as baseline
distribution. It is derived for the baseline distribution as exponential distribution and some statistical properties of the new distribution, thus obtained have been studied. The new distribution have been shown better fit to the bladder cancer patients data as compared to some well known distributions available in the statistical literature through Akaike information criteria (AIC), Bayesian information criteria (BIC), - log-likelihood and the associated Kolmogorov-Smirnov (KS) test values.
A new distribution is proposed by the use of some baseline distribution. As an application part, ... more A new distribution is proposed by the use of some baseline distribution. As an application part, it is derived for the baseline distribution as exponential distribution. The new distribution, thus obtained have been shown to fit the bladder cancer patients data. Further, maximum likelihood estimator (MLE) and Bayes estimators under general entropy loss function (GELF) and squared error loss function (SELF) have been derived. The estimators have been compared through their Simulated risks.
In the present study, we have considered the exponentiated gamma distribution as an important lif... more In the present study, we have considered the exponentiated gamma distribution as an important life time model for the
situations where hazard rate function is either monotonic increasing or in the bathtub shape. We propose Bayes estimators of the parameter of the exponentiated gamma distribution under general entropy loss function, squared error loss function and we have also derived its maximum likelihood estimator. The estimators have been compared through their simulated risks.
In this paper, we propose Bayes estimators of the parameter and reliability function of inverted ... more In this paper, we propose Bayes estimators of the parameter and reliability function of inverted exponential distribution under the general entropy loss function for complete, type I and type II censored samples. The proposed estimators have been compared with the corresponding maximum-likelihood estimators for their simulated risks (average loss over sample space).
In this paper, we propose Bayes estimators of the parameter of the exponentiated gamma distributi... more In this paper, we propose Bayes estimators of the parameter of the exponentiated gamma distribution and associated reliability function under General Entropy loss function for a censored sample. The proposed estimators have been compared with the corresponding Bayes estimators obtained under squared error loss function and maximum likelihood estimators through their simulated risks (average loss over sample space).
A new life time distribution is proposed by the use of Sine function in terms of some life time d... more A new life time distribution is proposed by the use of Sine function in terms of some life time distribution as baseline
distribution. It is derived for the baseline distribution as exponential distribution and some statistical properties of the new distribution, thus obtained have been studied. The new distribution have been shown better fit to the bladder cancer patients data as compared to some well known distributions available in the statistical literature through Akaike information criteria (AIC), Bayesian information criteria (BIC), - log-likelihood and the associated Kolmogorov-Smirnov (KS) test values.
A new distribution is proposed by the use of some baseline distribution. As an application part, ... more A new distribution is proposed by the use of some baseline distribution. As an application part, it is derived for the baseline distribution as exponential distribution. The new distribution, thus obtained have been shown to fit the bladder cancer patients data. Further, maximum likelihood estimator (MLE) and Bayes estimators under general entropy loss function (GELF) and squared error loss function (SELF) have been derived. The estimators have been compared through their Simulated risks.
In the present study, we have considered the exponentiated gamma distribution as an important lif... more In the present study, we have considered the exponentiated gamma distribution as an important life time model for the
situations where hazard rate function is either monotonic increasing or in the bathtub shape. We propose Bayes estimators of the parameter of the exponentiated gamma distribution under general entropy loss function, squared error loss function and we have also derived its maximum likelihood estimator. The estimators have been compared through their simulated risks.
In this paper, we propose Bayes estimators of the parameter and reliability function of inverted ... more In this paper, we propose Bayes estimators of the parameter and reliability function of inverted exponential distribution under the general entropy loss function for complete, type I and type II censored samples. The proposed estimators have been compared with the corresponding maximum-likelihood estimators for their simulated risks (average loss over sample space).
In this paper, we propose Bayes estimators of the parameter of the exponentiated gamma distributi... more In this paper, we propose Bayes estimators of the parameter of the exponentiated gamma distribution and associated reliability function under General Entropy loss function for a censored sample. The proposed estimators have been compared with the corresponding Bayes estimators obtained under squared error loss function and maximum likelihood estimators through their simulated risks (average loss over sample space).