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4 Fasciculi Mathematici

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

Iwińska M.

Fasciculi Mathematici

2005

Nr 36

33-39

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.

Properties of record values with random index characterizing exponential distribution

Iwińska M.

Fasciculi Mathematici

2001

Nr 32

49-54

In this paper we give some characterizations of the exponential distribution by distributional property, expected value and failure rate of record values. The index of record values has the geometric distribution

Subranges of generalized order statistics from exponential distributions

Kamps U.

Fasciculi Mathematici

1998

Nr 28

63-70

IdenticaI distributions of a subrange and a corresponding order statistic, as well as related moment equations, are known to be characteristic properties of exponentiaI distributions. Results for ordinary order statistics and record values are particular cases of characterization theorems based on subranges of generalized order statistics.

On the characterization of the exponential distribution by expected value of record value with random index

Iwińska M.

Fasciculi Mathematici

1998

Nr 28

57-61

In this paper we give some characterizations of the exponential distribution based on the expected value of record value. These characterizations are considered for distribution functions belonging to IFRA or DFRA. The index of record value has the geometric distribution.