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Sensitivity analysis of the t-distribution under truncated normal populations

DSpace at IIT Bombay

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Title Sensitivity analysis of the t-distribution under truncated normal populations
 
Creator BOROWIAK, D
DAS, A
 
Subject left-truncated normal
t-distribution
skewness
simulation
 
Description In recent literature, the truncated normal distribution has been used to model the stochastic structure for a variety of random structures. In this paper, the sensitivity of the t-random variable under a left-truncated normal population is explored. Simulation results are used to assess the errors associated when applying the student t-distribution to the case of an underlying left-truncated normal population. The maximum errors are modelled as a linear function of the magnitude of the truncation and sample size. In the case of a left-truncated normal population, adjustments to standard inferences for the mean, namely confidence intervals and observed significance levels, based on the t-random variable are introduced.
 
Publisher TAYLOR & FRANCIS LTD
 
Date 2011-08-31T04:46:00Z
2011-12-26T12:59:22Z
2011-12-27T05:51:17Z
2011-08-31T04:46:00Z
2011-12-26T12:59:22Z
2011-12-27T05:51:17Z
2009
 
Type Article
 
Identifier JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 79(5), 723-729
0094-9655
http://dx.doi.org/10.1080/00949650801949815
http://dspace.library.iitb.ac.in/xmlui/handle/10054/12587
http://hdl.handle.net/10054/12587
 
Language en