Abstract In this research work we introduce a new sampling design, namely two-stage cluster sampling, where probability proportional to size with replacement is used in the first stage unit and ranked set second order address issue of marked variability sizes population units concerned sampling. We obtained an unbiased estimator mean total, as well variance estimator. calculated relative effici...

In this article, we introduce a new extension of the Kumaraswamy (Ku) model, which is called Kavya Manoharan (KMKu) model. The shape forms pdf for KMKu model various values parameters are similar to Ku It can be asymmetric, such as bathtub, unimodal, increasing and decreasing. addition, hrf U-shaped, J-shaped increasing. Several statistical computational properties were computed. Four different...

In this manuscript, a generalized class of estimators has been developed for estimating finite population means in ranked set sampling scheme. The expressions bias and mean square error (MSE) the proposed have derived up to first order approximation. Some are shown be member class. compared through MSE criterion over other existing estimators. theoretical conditions obtained under which perform...

A new two-parameter model is proposed using the Kavya–Manoharan (KM) transformation family and Burr X (BX) distribution. The called Kavya–Manoharan–Burr (KMBX) model. statistical properties are obtained, involving quantile (QU) function, moment (MOs), incomplete MOs, conditional MO-generating entropy. Based on simple random sampling (SiRS) ranked set (RaSS), parameters estimated via maximum lik...