ESTIMATION BASED ON AN APPROPRIATE CHOICE OF LOSS FUNCTION

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GANJALI M.; SHAFIEI K.

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Paper Information

Journal: JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS) Year:2005 | Volume:4 | Issue:2 Page(s): 87-95

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Information Journal Paper

Title

ESTIMATION BASED ON AN APPROPRIATE CHOICE OF LOSS FUNCTION

Author(s)

GANJALI M. | SHAFIEI K. | Issue Writer Certificate

Keywords

ADMISSIBILITYQ4

LOSS FUNCTIONQ4

RISK FUNCTIONQ4

UNBIASED ESTIMATORQ4

UNIFORMLY MINIMUM VARIANCE UNBIASED ESTIMATORQ4

Abstract

Some examples of absurd uniformly minimum variance UNBIASED ESTIMATORs are discussed. Two reasons, argued in the literature, for having such estimators are lack of enough information in the available data and property of unbiasedness. In this paper, accepting both of these views, we show that an appropriate choice of LOSS FUNCTION using a general concept of unbiasedness leads to risk unbiased, admissible and reasonable estimators. For this we extend the Rao-Blackwell theorem using a new way of defining UNBIASED ESTIMATOR.

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APA: Copy

GANJALI, M., & SHAFIEI, K.. (2005). ESTIMATION BASED ON AN APPROPRIATE CHOICE OF LOSS FUNCTION. JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS), 4(2), 87-95. SID. https://sid.ir/paper/117865/en

Vancouver: Copy

GANJALI M., SHAFIEI K.. ESTIMATION BASED ON AN APPROPRIATE CHOICE OF LOSS FUNCTION. JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS)[Internet]. 2005;4(2):87-95. Available from: https://sid.ir/paper/117865/en

IEEE: Copy

M. GANJALI, and K. SHAFIEI, “ESTIMATION BASED ON AN APPROPRIATE CHOICE OF LOSS FUNCTION,” JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS), vol. 4, no. 2, pp. 87–95, 2005, [Online]. Available: https://sid.ir/paper/117865/en

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