Quantile function;
Mean residual quantile function;
Test for exponentiality;
Decereasing mean residual life;
Increasing mean residual life;
OF-FIT TEST;
KOLMOGOROV-SMIRNOV;
LIFE;
DISTRIBUTIONS;
RELIABILITY;
SPACINGS;
D O I:
10.1007/s00362-014-0651-1
中图分类号:
O21 [概率论与数理统计];
C8 [统计学];
学科分类号:
020208 ;
070103 ;
0714 ;
摘要:
In the present paper, a non-parametric test is developed to test exponentiality using mean residual quantile function. Asymptotic distribution of the test statistic is derived. Simulation studies are carried out to assess the efficiency of the test. We also compare the power of the proposed test with the existing tests. We apply the proposed test to two real life data sets.
机构:
Univ Orange Free State, Dept Math Stat, ZA-9300 Bloemfontein, South AfricaUniv Orange Free State, Dept Math Stat, ZA-9300 Bloemfontein, South Africa
机构:
Univ Buenos Aires, Fac Ciencias Econ, CONICET, Buenos Aires, DF, Argentina
Univ Buenos Aires, Fac Ciencias Econ, Inst Interdisciplinario Econ Polit Buenos Aires I, Buenos Aires, DF, ArgentinaUniv Buenos Aires, Fac Ciencias Econ, CONICET, Buenos Aires, DF, Argentina
Montes-Rojas, Gabriel
Mena, Andres Sebastian
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机构:
ISES CONICET, San Miguel De Tucuman, Argentina
Univ Nacl Tucuman, San Miguel De Tucuman, ArgentinaUniv Buenos Aires, Fac Ciencias Econ, CONICET, Buenos Aires, DF, Argentina
机构:
West Virginia Univ, Dept Stat, POB 6330, Morgantown, WV 26506 USAWest Virginia Univ, Dept Stat, POB 6330, Morgantown, WV 26506 USA
Mnatsakanov, Robert M.
Sborshchikovi, Aleksandre
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机构:
I Javakhishvili Tbilisi State Univ, Fac Exact & Nat Sci, 1 Il Chavchavadze Ave, GE-0179 Tbilisi, GeorgiaWest Virginia Univ, Dept Stat, POB 6330, Morgantown, WV 26506 USA
机构:
King Saud Univ, Coll Sci, Fac Sci, Dept Stat & OR, Riyadh 1145, Saudi ArabiaKing Saud Univ, Coll Sci, Fac Sci, Dept Stat & OR, Riyadh 1145, Saudi Arabia
El-Bassiouny, AH
Sarhan, AM
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机构:
King Saud Univ, Coll Sci, Fac Sci, Dept Stat & OR, Riyadh 1145, Saudi ArabiaKing Saud Univ, Coll Sci, Fac Sci, Dept Stat & OR, Riyadh 1145, Saudi Arabia
Sarhan, AM
Al-Garian, M
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机构:
King Saud Univ, Coll Sci, Fac Sci, Dept Stat & OR, Riyadh 1145, Saudi ArabiaKing Saud Univ, Coll Sci, Fac Sci, Dept Stat & OR, Riyadh 1145, Saudi Arabia