In this paper we derive some unbiased estimators of the population mean under simple inverse sampling with replacement, using the class of Hansen-Hurwitz and Horvitz-Thompson type estimators and the post-stratification approach. We also compare the efficiency of resulting estimators together with Murthy's estimator. We show that in despite of general belief, the strategy consisting of inverse s...

Abstract The confidence interval is an important statistical estimator of population location and dispersion parameters. paper considers a robust modified interval, which adjustment the Student’s t based on decile mean standard deviation for estimating skewed distribution. efficiency proposed evaluated basis extensive Monte Carlo simulation study. coverage ratio average width are compared with ...

We consider a class of semi-parametric dynamic models with strong white noise errors. This processes includes the standard Vector Autoregressive (VAR) model, nonfundamental structural VAR, mixed causal-noncausal models, as well nonlinear such (multivariate) ARCH-M model. For estimation in this class, we propose Generalized Covariance (GCov) estimator, which is obtained by minimizing residual-ba...

 This paper considers the problem of estimating the population mean Ybar of the study variate Y using information on different parameters such as population mean $(bar{X})$, coefficient of variation $(C_x)$, kurtosis  $beta_{2(x)}$, standard deviation $(S_x)$ of the auxiliary variate x and on the correlation coefficient, $rho$, between the study variate $Y$ and the auxiliary variate $...

In this paper, a new control chart to monitor multi-binomial processes is first proposed based on a transformation method. Then, the maximum likelihood estimators of change points designed for both step changes and linear-trend disturbances are derived. At the end, the performances of the proposed change-point estimators are evaluated and are compared using some Monte Carlo simulation experimen...

In this article we propose to analyze over-dispersed panel count data using a Gamma-Frailty nonhomogeneous Poisson process model. Conditional on a Gamma distributed frailty variable, the cumulative count, N (t), is assumed to follow a nonhomogeneous Poisson process. Cubic B-spline functions are used to approximate the logarithm of the baseline mean function Λ0 (t) in the semiparametric proporti...