Thesis (Ph.D.) - Cairo University - Institute of Statistical Studies and Research - Department of Statistics and Econometrics

This is an attempt to study stochastic approach to the multilateral price index numbers. The main objective of this study is to show how the multilateral systems of price index numbers can be derived using the weighted country product dummy method (CPD) by using deferent error distributions. The main purpose of this study is to examine the link between the weighted CPD method and the hajargasht and Rao multilateral systems of price index number (H-R), and between the weighted CPD method and IKLE multilateral system of price index numbers under different distributions of the error term too. The weights system in the weighted CPD model is taken to represent expenditure or production quantities. Five new propositions are introduced in this thesis, each one explain the effect of the distribution of the error on the multilateral price index numbers. The thesis contains five chapters. Chapter (1) presents an introduction, definitions, classification of index numbers, also presents the component and sources of errors in index numbers and tests approach for index numbers. Chapter (2) presents the multilateral stochastic models of index number and comparison between them. Chapter (3) represents the country product dummy method (CPD) and the relationship between the multilateral index numbers, in addition to the representation of the Hajargasht and Rao (H-R), IKLE and geary-khamis (G-K) multilateral systems of price index numbers

Issued also as CD