Parameter Estimation Model of Small Test Samples Based on Grey Bootstrap Method and Unascertained Rational Number

doi:10.3969/j.issn.1000-1093.2019.04.023

Abstract

Abstract: A method based on grey bootstrap method and unascertained rational number is proposed for the parameter estimation of small samples. The experimental data of small samples are resampled by using the grey bootstrap method, and more samples are generated by using the grey model GM(1,1). An expression model based on unascertained rational number of virtual samples is developed, and an optimization algorithm of the order of unascertained rational number is proposed. The point estimation and interval estimation models based on unascertained rational number are introduced, respectively, and the correlative estimation confidence models are given. The point estimation and interval of the interference power test data are estimated by the proposed method. The examples show that the proposed method has no demand for the probability distribution of small samples, and has high estimation reliability. Key

Key words: parameterestimation, smalltestsample, greybootstrapmethod, unascertainedrationalnumber

CLC Number:

TB114.37

KE Zhaojie， ZHOU Wenya. Parameter Estimation Model of Small Test Samples Based on Grey Bootstrap Method and Unascertained Rational Number[J]. Acta Armamentarii, 2019, 40(4): 874-879.

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第40卷
第4期2019 年4月兵工学报ACTA
ARMAMENTARIIVol.40No.4Apr.2019

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