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has been cited by the following article:

• TITLE: Extracting the Influential Commodities in Stochastic Model of Simple Laspeyre Price Index Numbers with AR(2) Errors

  AUTHORS: Arfa Maqsood, Syed Mohammad Aqil Burney

  KEYWORDS: Hat Matrix; DFBETA; Laspeyre Price Index Number; Influential Observation; Autoregressive Process

  JOURNAL NAME: Open Journal of Statistics, Vol.4 No.3, April 24, 2014

  ABSTRACT: This paper, on the first hand, deals with the problem of estimation of Laspeyre price index number when the errors are assumed to be generated from AR(2) process. The general expression of hat matrix and DFBETA measure to find the influential consumer commodities in stochastic Laspeyre price model with AR(2) errors are developed on the other. The hat values show the noteworthy findings that the corresponding weights of consumer items have large influence on the parameter estimates for simple Laspeyre price index number and are not affected by the parameter of autoregressive process of order two. While, DFBETA measures are the functions of both weights and autocorrelation parameters. Lastly, an example is presented with reference to price data of Pakistan, and shows its practical importance in financial time series.