Estimation of population ratio, product, and mean using multiauxiliary information with random nonresponse

SINGH, HOUSILA P.; School Of Studies In Statistics - Vikram University, CHANDRA, PREM; Department Of Biostatistics - All India Institute Medical Sciences, New Delhi, GREWAL, INDERJIT SINGH; Department Of Mathematics, Statistics And Physics - Punjab Agricultural University, SINGH, SARJINDER; Department Of Mathematics - Texas A&M University - Kingsville, CHEN, CHENG C.; Department Of Mathematics - Texas A&M University - Kingsville, SEDORY, STEPHEN A.; Department Of Mathematics - Texas A&M University - Kingsville & KIM, JONG-MIN; Division Of Science And Mathematics - University Of Minnesota - Morris
In this paper, a family of estimators of population ratio R , product P and mean Y0 has been suggested using multi-auxiliary information under simple random sampling without replacement (SRSWOR) and its properties have been discussed. We have further suggested three families of estimators in the presence of random non-response in different situations under an assumption that the number of sampling units on which information cannot be obtained due to random non-response follows some distribution....