On Coverage Probability of the Prediction Interval for Normal Variable
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Abstract
This paper presents a coverage probability of a one-step-ahead prediction interval for a normal variable. This coverage probability is proved to be functionally independent of (µ,ơ2). Because of this functional independence, Monte Carlo simulation will include some variance reduction by setting (µ,ơ2) = (0,1). This result will then valid for all possible values of (µ,ơ2). This leads to a great reduction in computation effort.
Keywords: Coverage probability, prediction interval
Corresponding author: E-mail: snw@kmitnb.ac.th
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References
[2] Kilmov, G. 1986 Probability Theory and Mathematical Statistics: Moscow, MIR Publishers Moscow.
[3] Niwitpong, S. 2005 Prediction Interval for an AR(1) Process Using Combined Predictors, Thailand Statistician 3, 3-11.
[4] Walpole et al. 2002 Probability and Statistics for Engineers and Scientists. New Jerseys, Prentice Hall.