Concomitants of Upper Record Statistics for Bivariate Pseudo–Weibull Distribution

In this paper the Bivariate Pseudo–Weibull distribution has been defined as a compound distribution of two random variables to model the failure rate of component reliability. The distribution of r–th concomitant and joint distribution of r–th and s–th concomitant of record statistics of the resulting distribution have been derived. Single and product moments alongside the correlation coefficient have also been obtained. Recurrence relation for the single moments has also been obtained for the resulting distributions

Bayesian Estimation for Parameters of Power Function Distribution under Various Priors

Although the idea of Bayesian inference dates back to the late 18th century, its use by statisticians has been rare until recently. But due to advancement in the simulation techniques Bayesian inference and estimation is gaining currency. This paper seeks to focus on the Bayesian estimates of the Power Function distribution using Weibull and Generalized Gamma distributions as priors for the unknown parameters. Furthermore, the statistical performance of the obtained estimators is compared with the Maximum likelihood of Power Function distribution and the Bayesian estimator of Gamma distribution as prior of the unknown parameter. The comparison has been done using Monte Carlo simulation using MSE as yardstick of the comparison. Keywords: Squared error loss function, Bayesian estimator, Prior distribution, Monte Carlo simulation

A CHARACTERIZATION OF ERLANG-TRUNCATED EXPONENTIAL DISTRIBUTION IN RECORD VALUES AND ITS USE IN MEAN RESIDUAL LIFE

In this paper the Erlang-truncated exponential distribution is characterized by the conditional expectation of record values. The utility of our result is demonstrated in mean residual life by using this characterization

Comparison of Negative Moment Estimator with Maximum Likelihood Estimator of Inverse Rayleigh Distribution

In this paper, method of negative moments has been used to estimate the parameter of Inverse Rayleigh Distribution. The asymptotic variance to the parameter estimates has been obtained. A comparison have been made between the variance of Maximum Likelihood Estimate and the variance of negative moment of first order for Inverse Rayleigh Distribution

Concomitants of Generalized Order Statistics for a Bivariate Weibull Distribution

In this paper we have studied the distribution of r–th concomitant and joint distribution of r–th and s–th concomitant of generalized order statistics for a bivariate Weibull distribution. We have derived the expression for single and product moments. Numerical study has also been conducted to see the behavior of mean of concomitants for selected values of the parameters

Modeling Barley Production in Punjab

Barley has been an important commodity of the country. In this paper Forecast model for production of Barley in Punjab has been fitted. Methodologies for fitting of the model has been used these include ARIMA model. Diagnostic test has been carried out to see the adequacy of fitted models. Forecasted production has been obtained for coming five years