Discrete distributions for which the regression of the first record on the second is linear

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Volumn 10, Issue 1, 2001, Pages 121-131

  López Blázquez, Fernando ^a   Wesołowski, Jacek ^b  

^a UNIVERSITY OF SEVILLE   (Spain)

^b WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Discrete distributions; Generalized geometric distribution; Geometric distribution; Linearity of regression; Ordinary records; Weak records

Indexed keywords

EID: 0347141881     PISSN: 11330686     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02595827     Document Type: Article

References (8)

1. Aliev, F.A. (1998). Characterizations of distributions through weak records. Journal of Applied Statistical Science, 8, 13-16.
2. Arnold, B.C., N. Balakrishnan and H.N. Nagaraja (1998). Records. John Wiley, New York.
3. Korwar, R.M. (1984). On characterizing distributions for which the second record value has a linear regression on the first. Sankhya, B, 46, 108-109.
4. Nagaraja, H.N. (1977). On a characterization based on record values. Australian Journal of Statistics, 19, 70-73.
5. Nagaraja, H.N. (1988). Some characterizations of continuous distributions based on regressions of adjacent order statistics and record values. Sankhya, A, 50, 70-73.
6. Stepanov, A.V. (1993). A characterization theorem for weak records. Theory of Probability and Its Application, 38, 762-764.
7. Vervaat, W. (1973). Limit theorems for records from discrete distributions. Stochastic Processes and Their Applications, 1, 317-334.
8. Wesołowski, J. and M. Ahsanullah (2000). Linearity of regression for non-adjacent weak records. Statistica Sinica (to appear).