On the characterization of the exponential distribution by record values with a random index

• Autorzy: Iwińska M.
• Języki publikacji: EN

Abstrakty

EN

We give some characterizations of the exponential distribution based on the distributional properties and the expected values of record values; the index of record values has the geometric distribution.

Słowa kluczowe

EN

record value; Laplace transform; IFRA; DFRA

PL

transformata Laplace'a

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2005
• Tom: Nr 36
• Strony: 33--39
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Iwińska M.

• Institute of Mathematics, Poznań University of Technology Piotrowo 3A, 60-965 Poznań, Poland,

Bibliografia

• [1] Ahsanullah M., Characteristic Properties of Order Statistics Based on Random Sample Size from an Exponential Distribution, Statistica Neerlandica, 42(3)(1988), 193-197.
• [2] Azlarov T.A., Volodin N.A., Characterization Problems Associated with Exponential Distribution, Tashkent, 1982, (in Russian).
• [3] Barlow R.E., Proshan F., Statistical Theory of Reliability and Life Testing, Holt, Rinehart and Winston, Inc., 1975.
• [4] Feller W., An Introduction to Probability Theory and Its Applications, II, Moscow, 1984, (in Russian).
• [5] Kakosyan A.V., Klebanov L.B., Melamed J.A., Characterization of Distributions by the Method of Intensively Monotone Operators, Springer Verlag, Berlin, Heidelberg, New York, Tokyo, 1984.