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IPPS sampling plans excluding adjacent units

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Title IPPS sampling plans excluding adjacent units
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Creator B.N. Mandal
Rajender Parsad
V.K. Gupta
 
Subject Balanced sampling plans excluding adjacent units
Horvitz–Thompson estimator
IPPS plans
Linear programing
 
Description Not Available
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The concept of inclusion probability proportional to size sampling plans excluding adjacent units separated by at most a distance of m (>=1) units [IPPSEA plans] is introduced. IPPSEA plans ensure that the first-order inclusion probabilities of units are proportional to size measures of the units, while the second-order inclusion probabilities are zero for pairs of adjacent units separated by a distance of m units or less. IPPSEA plans have been obtained by making use of binary, proper, and unequireplicated block designs and linear programing approach. The performance of IPPSEA plans using Horvitz-Thompson estimator of population total has been compared with existing sampling plans such as simple random sampling without replacement (SRSWOR), balanced sampling plans excluding adjacent units [BSA (m) plans], probability proportional to size with replacement, Hartley and Rao's plan (1962, Hartley , H. O. , Rao , J. N. K. (1962), Sampling with unequal probabilities and without replacement. Ann. Math. Statist. 33 : 350-374), and Sampford's IPPS plan (1967 Sampford , M. R. ( 1967 ), Biometrika 54 ( 3 ): 499-513) using a real life population. Unbiased estimation of Horvitz-Thompson estimator of population total is not possible in these types of plans because some of the second-order inclusion probabilities are zero. To resolve this problem, one approximate variance estimation technique has been suggested.
 
Date 2017-09-08T12:10:37Z
2017-09-08T12:10:37Z
2008-06
 
Type Research Paper
 
Identifier Mandal, B.N., Parsad, Rajender and Gupta, V.K. (2008). IPPS sampling plans excluding adjacent units. Communications-in-Statistics: Theory and Methods, 37(16), 2532-2550.
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http://krishi.icar.gov.in/jspui/handle/123456789/5271
 
Language English
 
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Publisher Not Available