On the distribution of the sum of independent uniform random variables

Statistical Papers

Volumn 50, Issue 1, 2009, Pages 171-175

  Sadooghi Alvandi, S M ^a   Nematollahi, A R ^a   Habibi, R ^a  

^a SHIRAZ UNIVERSITY   (Iran)

Author keywords

Characteristic function; Inversion formula; Laplace transform

Indexed keywords

EID: 59049087539     PISSN: 09325026     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00362-007-0049-4     Document Type: Article

References (8)

1. Billingsley P (1995) Probability and measure, 3rd (edn). Wiley, New York
2. DM Bradley CR Gupta 2002 On the distribution of the sum of n non-identically distributed uniform random variables Ann Inst Stat Math 54 3 689 700
3. R Habibi SM Sadooghi-Alvandi AR Nematollahi 2005 Change point detection in a general class of distributions Comm Stat Theor Meth 34 9 1935 1938
4. SK Mitra 1971 On the probability distribution of the sum of uniformly distributed random variables SIAM J Appl Math 20 2 195 198
5. Mood AM, Graybill FA, Boes DC (1974) Introduction to the theory of statistics, 3rd (edn). McGraw-Hill, London
6. Nörlund NE (1942) Vorlesungen über Differenzenrechnung. Springer, Berlin
7. EG Olds 1952 A note on the convolution of uniform distributions Ann Math Stat 23 282 285
8. SA Roach 1963 The frequency distribution of the sample mean where each member of the sample is drawn from a different rectangular distribution Biometrika 50 508 513