메뉴 건너뛰기




Volumn 136, Issue 3, 2006, Pages 1090-1102

A discrete analogue of the Laplace distribution

Author keywords

Discrete normal distribution; Double exponential distribution; Exponential distribution; Geometric infinite divisibility; Infinite divisibility; Laplace distribution; Maximum entropy property; Maximum likelihood estimation

Indexed keywords


EID: 28044456086     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2004.08.014     Document Type: Article
Times cited : (106)

References (27)
  • 2
    • 0011028536 scopus 로고
    • Cauchy equation on discrete domain and some characterization theorems
    • R. Dasgupta Cauchy equation on discrete domain and some characterization theorems Theory Probab. Appl. 38 3 1993 520-524
    • (1993) Theory Probab. Appl. , vol.38 , Issue.3 , pp. 520-524
    • Dasgupta, R.1
  • 4
    • 0342948591 scopus 로고    scopus 로고
    • Return period and risk of hydrologic events. I: Mathematical formulation
    • B. Fernández J.D. Salas Return period and risk of hydrologic events. I: Mathematical formulation J. Hydrologic Eng. 4 4 1999 297-307
    • (1999) J. Hydrologic Eng. , vol.4 , Issue.4 , pp. 297-307
    • Fernández, B.1    Salas, J.D.2
  • 5
    • 18144448895 scopus 로고    scopus 로고
    • Bivariate drought recurrence analysis using tree ring reconstructions
    • J.G. González J.B. Valdés Bivariate drought recurrence analysis using tree ring reconstructions J. Hydrologic Eng. 8 5 2003 247-258
    • (2003) J. Hydrologic Eng. , vol.8 , Issue.5 , pp. 247-258
    • González, J.G.1    Valdés, J.B.2
  • 7
    • 28044447642 scopus 로고    scopus 로고
    • Discrete Laplace Distributions
    • Thesis, Department of Mathematics and Statistics, University of Nevada at Reno
    • Inusah, S., 2003. Discrete Laplace Distributions. Thesis, Department of Mathematics and Statistics, University of Nevada at Reno.
    • (2003)
    • Inusah, S.1
  • 8
    • 0010951935 scopus 로고
    • The frequency distribution of the difference between two independent variates following the same Poisson distribution
    • J.O. Irwin The frequency distribution of the difference between two independent variates following the same Poisson distribution J. Roy. Statist. Soc. 100 3 1937 415-416
    • (1937) J. Roy. Statist. Soc. , vol.100 , Issue.3 , pp. 415-416
    • Irwin, J.O.1
  • 9
    • 11944266539 scopus 로고
    • Information theory and statistical mechanics I
    • E.T. Jaynes Information theory and statistical mechanics I Phys. Rev. 106 1957 620-630
    • (1957) Phys. Rev. , vol.106 , pp. 620-630
    • Jaynes, E.T.1
  • 13
    • 0031572759 scopus 로고    scopus 로고
    • Characterizations of a discrete normal distribution
    • A.W. Kemp Characterizations of a discrete normal distribution J. Statist. Plann. Inference 63 1997 223-229
    • (1997) J. Statist. Plann. Inference , vol.63 , pp. 223-229
    • Kemp, A.W.1
  • 14
    • 0001479094 scopus 로고
    • A problem of Zolotarev and analogs of infinitely divisible and stable distributions in a scheme for summing a random number of random variables
    • L.B. Klebanov G.M. Maniya I.A. Melamed A problem of Zolotarev and analogs of infinitely divisible and stable distributions in a scheme for summing a random number of random variables Theory Probab. Appl. 29 1984 791-794
    • (1984) Theory Probab. Appl. , vol.29 , pp. 791-794
    • Klebanov, L.B.1    Maniya, G.M.2    Melamed, I.A.3
  • 15
    • 0003939997 scopus 로고    scopus 로고
    • The Laplace Distribution and Generalizations: A Revisit with Applications to Communications, Economics, Engineering, and Finance
    • Birkhäuser Boston
    • S. Kotz T.J. Kozubowski K. Podgórski The Laplace Distribution and Generalizations: A Revisit with Applications to Communications, Economics, Engineering, and Finance 2001 Birkhäuser Boston
    • (2001)
    • Kotz, S.1    Kozubowski, T.J.2    Podgórski, K.3
  • 16
    • 28044451545 scopus 로고    scopus 로고
    • A mixed bivariate distribution with exponential and geometric marginals
    • in press
    • Kozubowski, T.J., Panorska, A.K., 2004. A mixed bivariate distribution with exponential and geometric marginals. J. Statist. Plann. Inference, in press.
    • (2004) J. Statist. Plann. Inference
    • Kozubowski, T.J.1    Panorska, A.K.2
  • 17
    • 84995077304 scopus 로고
    • Note on the generation of most probable frequency distributions
    • J.H.C. Lisman M.C.A. van Zuylen Note on the generation of most probable frequency distributions Statist. Neerlandica 26 1 1972 19-23
    • (1972) Statist. Neerlandica , vol.26 , Issue.1 , pp. 19-23
    • Lisman, J.H.C.1    van Zuylen, M.C.A.2
  • 18
    • 0006045943 scopus 로고
    • The use of geometric and gamma-related distributions for frequency analysis of water deficit
    • L. Mathier L. Perreault B. Bobée F. Ashkar The use of geometric and gamma-related distributions for frequency analysis of water deficit Stochastic Hydrol. Hydraul. 6 1992 239-254
    • (1992) Stochastic Hydrol. Hydraul. , vol.6 , pp. 239-254
    • Mathier, L.1    Perreault, L.2    Bobée, B.3    Ashkar, F.4
  • 19
    • 28044468866 scopus 로고    scopus 로고
    • Personal communication to S. Kotz
    • Navarro, J., Ruiz, J.M., 2000. Personal communication to S. Kotz.
    • (2000)
    • Navarro, J.1    Ruiz, J.M.2
  • 20
    • 0344604472 scopus 로고    scopus 로고
    • Nine fallacies of floods
    • R.A. Pielke Jr. Nine fallacies of floods Climatic Change 42 1999 413-438
    • (1999) Climatic Change , vol.42 , pp. 413-438
    • Pielke Jr., R.A.1
  • 23
    • 0019091745 scopus 로고
    • Statistical analysis of hydrologic critical droughts
    • Z. Sen Statistical analysis of hydrologic critical droughts J. Hydraulics Division 106 1980 99-115
    • (1980) J. Hydraulics Division , vol.106 , pp. 99-115
    • Sen, Z.1
  • 24
    • 0034746117 scopus 로고    scopus 로고
    • Recurrence analysis of hydrologic droughts of differing severity
    • J.-T. Shiau H.W. Shen Recurrence analysis of hydrologic droughts of differing severity J. Water Resour. Plann. Manage. 127 1 2001 30-40
    • (2001) J. Water Resour. Plann. Manage. , vol.127 , Issue.1 , pp. 30-40
    • Shiau, J.-T.1    Shen, H.W.2
  • 25
    • 0041364617 scopus 로고    scopus 로고
    • Discrete normal distribution and its relationship with Jacobi Theta functions
    • P.J. Szablowski Discrete normal distribution and its relationship with Jacobi Theta functions Statist. Probab. Lett. 52 2001 289-299
    • (2001) Statist. Probab. Lett. , vol.52 , pp. 289-299
    • Szablowski, P.J.1
  • 26
    • 0002680807 scopus 로고    scopus 로고
    • Drought as a natural hazard: Concepts and definitions
    • D.A. Wilhite (Ed.) Routledge London
    • D.A. Wilhite Drought as a natural hazard: Concepts and definitions. In: D.A. Wilhite (Ed.) Drought A Global Assessment 2000 Routledge London pp. 3-18
    • (2000) Drought A Global Assessment , pp. 3-18
    • Wilhite, D.A.1
  • 27
    • 0004185228 scopus 로고
    • An objective approach to definitions and investigations of continental hydrologic droughts
    • Hydrologic Paper 23, Colorado State University, Fort Collins, Colorado
    • Yevjevich, V.M., 1967. An objective approach to definitions and investigations of continental hydrologic droughts. Hydrologic Paper 23, Colorado State University, Fort Collins, Colorado.
    • (1967)
    • Yevjevich, V.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.