You are here

Sampling Problem from Elliptically Contoured Distribution and Its Application in Psychiatric Screening Instruments

Journal Name:

Publication Year:

Abstract (2. Language): 
In this paper, we employed the series expansion of incomplete gamma function via the Taylor series to obtain the function for pivotal quantity from which the confidence intervals for each parameter of a special family of elliptically contoured distribution called the exponential power distribution (EPD) were derived. The results obtained were further used to determine the estimated sample size when sampling from EPD as well as the pivotal test statistic for the test of mean differences between two independent EPD samples. Psychiatric screening instruments were used to demonstrate the applicability of the results.
41
46

REFERENCES

References: 

[1] Lindsey J.K. (1999). Multivariate Elliptically Contoured Distributions
for Repeated Measurements. Biometrics 55, 1277-1280.
[2] Saralees Nadarajah (2005). A Generalized Normal Distribution. Journal
of Applied Statistics Vol 32, No 7, 685-694.
[3] Roy Takenaga (1966). The Evaluation of the Incomplete Gamma
Function. http:// www.ams.org/journal-terms-of-use.
[4] Paris, R.B. (2010). Incomplete Gamma Function. NIST Handbook of
mathematical functions, Cambridge University press. ISBN 978-
0521192255.
[5] Suhasini, S.R. (2010). Advanced Statistical Inference. Suhasini
[email protected].
[6] Sterling, M (2011). Manual of the General Health Questionnaire.
Measure of emotional distress.
ajp.physiotherapy.asn.au/ajp/vol_57/4/Clin.pdf.
[7] Goodman, R (2000). Scoring the Self-Report Strengths and Difficulties
Questionnaire. bjp.rcpsych.org/content/177/6/534.long British Journal of
Psychiatry.
[8] Mood, Alexander McFar1ane, (1913)- Introduction to the theory of
statistics (McGraw-Hi1l series in probability and statistics). ISBN 0-07-
042864-6.

Thank you for copying data from http://www.arastirmax.com