S. Sengupta

TL;DR: In this article, the problem of unbiased estimation of P[X>Y] using ranked set sample data for two independent random variables X and Y with unknown probability distributions was considered, and it was proved that the ranked set samples provided an unbiased estimator with smaller variance as compared with simple random samples of same sizes.

TL;DR: In this article, the problem of unbiased estimation of P[X>Y] = θ for two independent exponentially distributed random variables X and Y is addressed and a unique unbiased estimator of θ based on a single pair of order statistics obtained from two independent random samples from the two populations is presented.

TL;DR: In this article, different superpopulation models for a finite population with linear trend were proposed and optimal sampling strategies for estimating the finite population mean within some classes of unbiased strategies were proposed.

TL;DR: In this article, the problem of unbiased estimation of the variance of an exponential distribution using a ranked set sample (RSS) was considered and the authors proposed some unbiased estimators each of which is better than the non-parametric minimum variance quadratic unbiased estimator based on a balanced ranked subset sample as well as the uniformly minimum variance unbiased estimulator based on simple random sample (SRS) of the same size.

TL;DR: In this paper, the problem of estimating a finite population mean or proportion related to a sensitive character is considered under a randomized response model, and some non-existence, admissibility and optimality results have been derived from the known results in the open set-up.