IJPAM: Volume 46, No. 4 (2008)
SOME 
-STATISTICS IN GOODNESS-OF-FIT
TESTS DERIVED FROM CHARACTERIZATIONS
VIA RECORD VALUES
-STATISTICS IN GOODNESS-OF-FIT
TESTS DERIVED FROM CHARACTERIZATIONS
VIA RECORD VALUES
Kerwin Morris
, Dominik Szynal
Statistics Department
School of Mathematics
University of Adelaide
North Tce, 5005, SOUTH AUSTRALIA
e-mail: kerwin.morris@adelaide.edu.au
Institute of Mathematics
Maria Curie-Sk
odowska University
Pl. M. Curie-Skodowskiej, 1, Lublin, 20-031, POLAND
e-mail: szynal@golem.umcs.lublin.pl
, Dominik Szynal
Statistics Department
School of Mathematics
University of Adelaide
North Tce, 5005, SOUTH AUSTRALIA
e-mail: kerwin.morris@adelaide.edu.au
Institute of Mathematics
Maria Curie-Sk
odowska University
Pl. M. Curie-Sk
odowskiej, 1, Lublin, 20-031, POLAND
e-mail: szynal@golem.umcs.lublin.pl
Abstract.Using characterizations of continuous distributions via expected values of two functions of record values and -statistics we construct tests of fit for continuous distributions.
Received: July 23, 2008
AMS Subject Classification: 62G10, 62G30
Key Words and Phrases: order statistics, record values, -statistics, exponential, Reyheigh and normal distributions, moments, characterizations, goodness-of-fit tests, powers
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 46
Issue: 4
