{"product_id":"generalized-multivariate-ratio-and-regression-estimators-von-zahoor-ahmad-und-muhammad-hanif","title":"Generalized Multivariate Ratio and Regression Estimators","description":"\u003cp\u003eThe concept of two-phase sampling was first given by Neyman (1938), later on several simple and general regression and ratio estimators have been suggested, starting from  Mohanty (1967), Srivastava (1970), Chand (1975), Kiregyera (1980, 84), Mukerjee et al. (1987), Srivastava et al.(1990), Roy (2003)and Samiuddin and Hanif (2006,07). Use of multi-auxiliary information for ratio and  regression estimators, were considered, by Olkin (1958), Goswami and Sukhatme (1965), Raj (1965), Rao and Mudholkar (1967), Tripathi (1970, 1976), Tripathi and Ahmed (1995), Sen (1972), Tripathi (1987), Singh and Namjoshi (1988), Tripathi and Khattree (1989), Tripahi and Chaubey (1993), Ahmed (2003), Martin and Steven (2004) and Ahmad at el. (2008). In this monograph we have provided general classes of regression and ratio estimators for two-phase and multi-phase sampling using multi-auxiliary variables for estimating single as well as multiple variables of interest.The theoretical developments provided in this monograph can be useful in multipurpose surveys in which the problem is to estimate population means of several variables simultaneously in the field like agricultural, forestry etc.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783838346786\"\u003e\u003ch3\u003eGeneralized Univariate and Multivariate Ratio and Regression Estimators for Two-Phase and Multi-Phase Sampling using Multi-Auxiliary Variables\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783838346786","offer_id":39499069947997,"sku":"9783838346786","price":79.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/b256775e-5b2f-4940-bec7-71f6c714811b.jpg?v=1772866442","url":"https:\/\/shop.autorenwelt.de\/products\/generalized-multivariate-ratio-and-regression-estimators-von-zahoor-ahmad-und-muhammad-hanif","provider":"Autorenwelt Shop","version":"1.0","type":"link"}