Suggest an estimator of population mean in cluster sampling with unequal size clusters, which is based upon the means of selected clusters. Determine whether it is an unbiased estimator?

In cluster sampling with unequal size clusters, we aim to estimate the population mean using a method that appropriately accounts for the variability in cluster sizes. Let the finite population consist of NN clusters, where the ithi^{th} cluster has MiM_i elements, and the total number of elements in the population is M=∑i=1NMiM = \sum_{i=1}^N M_i. Suppose a simple random sample of nn clusters is selected without replacement. Let yˉi\bar{y}_i denote the sample _____ ________ _____ ________ ________ ________ __________ ________ _____ ____ _______.
___ __________ ____ ____ ____ ________.
______ ________ __________ _____ ________.
___ _____ _______ ____ _________ __________ ______ ________ ______ _________.
__________ _____ ______ __________ ________ _________ ________ _________.
___ ____ __________ ____ __________ ___ __________.
___ ________ __________ _______ ________ ______ _________ ___ __________ _____ ____.
__________ _____ ____ ____ __________.
______ ____ _______ _______ ______.
________ ____ ______ ______ _______ ___ __________ _____ ____ _______ _____ _________.
_________ ___ _________ ___ _______ ________ ____ ___.
_______ ____ _______ _________ ________.
_________ __________ _____ ______ ______.
________ ______ _____ _________ _________.
_______ ___ ___ _______ ______ _____ ____ ________ ______ ________ ________ _____.
___ _____ _______ ______ ________ _________ _________.
_______ ______ _____ _____ ________ _____ __________ _________ ___ _________ _____ _______.
__________ _____ _______ _______ _____ _______ ______ ______ _________.
_____ _______ _________ _____ _________ ________ ___ ____ ____.
__________ ________ ____ _________ ______ ____ _______ _________ ___.
_________ ________ _________ _________ ___ _______ __________ _________ ___.
__________ ________ ______ ____ _______ __________ _______ _________ _______ _______ __________.
_______ ____ _______ _________ __________ _______.
__________ ________ ___ ______ ____ _____ _________.
_________ ________ _________ __________ _____ ______ _________ ___ _______ ________ _________ ___.
________ ___ ________ _________ _________ ____ _________ ____ _________ __________ _________ ________.
______ ______ _________ _________ ________.
________ _______ __________ _______ _____ _____ ____ __________.
___ ______ __________ ___ __________ ____ ________.
______ ____ __________ _________ _____ ___ ____ _________ __________ ___.
______ _____ _____ _______ _______.
______ _______ _________ _____ ______ ______ _____ _____ ______ _____ ______ _______.
____ ________ ______ __________ ____ _________ ___ ___.
_________ ________ ___ ___ ___ ___ ___.
______ ______ ___ ____ _____ _____ _________ ___.
___ _________ __________ ____ ___ ________.
__________ _________ _____ ______ _________ ______ _______ _________.
____ ____ ________ ____ ________ ______ _________ _________ _________ ____.
___ _________ ______ ____ ________ ______ __________ ______ __________ _____ ___.
__________ ___ ____ _______ ___ __________ ________ _______.
__________ ____ _________ __________ _____ ______ ___ _____ _________ __________.
____ _________ ________ ____ _________ _______ _________.
________ __________ _________ _________ ________ _____ _________ __________ ___.
_________ ______ __________.
Get Full Answer on WhatsApp