Some Contributions to Jackknife Methodology and its Application
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Date
1984
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Chaudhary Charan Singh Haryana Agricultural Univesity, Hisar
Abstract
besides•• sufficiency. efficiency end consistency. the unbid•Mend•• la also considered to be a desirable property of an estimator.. Let Q be any parameter of interest and A
9 be .,V reasonable estimator of 9. whence by evaluating the expectation of unbiased statistic may be derived provided the !(9) ls ., explicit function of Q. but often
the complexity of the expected value presents a major drawback.,d then it ruy not be possible• to find an unbiased . statistic at all and •~ other .. method may be needed to
/\improve 9 in the sense that its bi•• la reduced. such situations occur ln almost st. all types of • estimation problems.For last half century efforts have been made in problam
the existing estimators or deriving new estimators with the help of various techniques. Jackknife is one such technique which •may be applied to various problems.
In sec~ton l.l of this chapter, present the review the jackknife technique, used in bias reduction and obtaining confidence intervals . Section 1.2 and section
1.3 are d.voted to the review of two •-.Pl• jackknife technique ~ review of the application• of jackknife technique in linear regression models, respectively. Section
1.• l• d.woted to the review of the syn'lftetric functiona.
1
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matio
Keywords
Statistics