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Strong consistency in nonlinear regression with multipucative error
Authors:B B Bhattacharyya  Y Otsuka  G D Richardson
Institution:1. Department of Statistics , North Carolina State University , Raleigh, NC 27607;2. Department of Economics , University of Central Florida , Orlando, FL 32816;3. Department of Mathematics , University of Central Florida , Orlando, FL 32816
Abstract:Sufficient conditions are given to ensure the existence of a sequence of strongly consistent estimators of the true parameter for a nonlinear regression model naving random regressors and a multiplicative disturbance term. Special cases of this result include the least absolute value and the least squares estimation procedures.
Keywords:nonlinear regression  multiplicative error  p-estimators  strong consistency  compactness
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