References
Aoyama, H. (1962). Note on ordered random intervals and its application,Ann. Inst. Statist. Math.,13, 243–250.
Karlin, S. (1966).A First Course in Stochastic Processes, Academic Press, New York.
Laurent, A. G. (1963). Conditional distribution of order statistics and distribution of the reducedith order statistic of the exponential model,Ann. Math. Statist.,34, 652–657.
Laurent, A. G. and Gupte, R. C. (1969). A characterization of the exponential distribution, (Abstract),Ann. Math. Statist.,40, 1865.
Likes, J. (1968). Difference of two ordered observations divided by standard deviation in the case of negatively exponential distribution,Metrika,12, 161–172.
Patil, G. P. and Wani, J. K. (1966). Minimum variance unbiased estimation of the distribution function admitting a sufficient statistic,Ann. Inst. Statist. Math.,18, 39–47.
Thompson, W. R. (1935). On a criterion for the rejection of observations and the distribution of the ratio of deviation to sample standard deviation,Ann. Math. Statist.,6, 214–219.
Wilks, S. S. (1962).Mathematical Statistics, John Wiley, New York.
Author information
Authors and Affiliations
About this article
Cite this article
Kabe, D.G. Some distributions of ordered random intervals with applications. Ann Inst Stat Math 22, 475–481 (1970). https://doi.org/10.1007/BF02506366
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02506366