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:: Volume 23, Issue 2 (3-2019) ::
Andishe 2019, 23(2): 113-122 Back to browse issues page
Comparison Of Hyperbolic And Constant Width Simultaneous Confidence Bands in Multiple Linear Regression Under MVCS Criterion
Javad Ahmadi *
Abstract:   (1683 Views)

‎A simultaneous confidence band gives useful information on the reasonable range of the unknown regression model‎. ‎In this note‎, ‎when the predictor variables are constrained to a special ellipsoidal region‎, ‎hyperbolic and constant width confidence bonds for a multiple linear regression model are compared under the minimum volome confidence set (MVCS) criterion‎. ‎The size of one speical angle that determines the size of the predictor variable region is used to find out which band is better than the other‎. ‎When the angle and consquently the size of the predictor variable region is small‎, ‎the constant width band is better than the hyperbolic band‎.

‎When the angle hence the size of the predictor variable regoin is large‎, ‎the hyperbolic band is considerably better than the constant width band‎.

Keywords: ‎Simultaneous confidence‎, ‎Unknown regression model‎, ‎Constant width confidence‎, ‎Hyperbolic band‎.
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Type of Study: Research | Subject: Special
Received: 2018/02/27 | Accepted: 2019/02/28 | Published: 2019/04/25
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ahmadi J. Comparison Of Hyperbolic And Constant Width Simultaneous Confidence Bands in Multiple Linear Regression Under MVCS Criterion. Andishe. 2019; 23 (2) :113-122
URL: http://andisheyeamari.irstat.ir/article-1-513-en.html


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Volume 23, Issue 2 (3-2019) Back to browse issues page
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