References
Anscombe, F. J.: Large sample theory of sequential estimation. Proc. Cambridge Phil. Soc.48, 600–607 (1952).
Cramér, H.: Mathematical Methods of Statistics. Princeton University Press 1946.
Curtiss, J. H.: Convergent sequences of probability distributions. Am. Math. Monthly50, 94–105 (1942).
Doob, J. L.: Stochastic Processes. New York: Wiley and Sons 1953.
Epstein, B., andM. Sobel: Some theorems relevant to life testing from an exponential distribution. Ann. Math. Stat.25, 373–381 (1954).
Fraser, D. A. S.: Nonparametric Methods in Statistics. New York: Wiley and Sons 1957.
Hajós, G., andA. Rényi: Elementary proofs of some basic facts concerning order statistics. Acta Math. Hung.5, 1–6 (1954).
Mann, H. B., andA. Wald: On stochastic limit and order relationships. Ann. Math. Stat.14, 217–226 (1943).
Rao, C. R.: Advanced Statistical Methods in Biometric Research. New York: Wiley and Sons 1952.
Rao, M. M.: Order statistics and estimation. Ann. Math. Stat.29, 1287 (1958).
Rao, M. M.: Two probability limit theorems and an application. Indag. Math.23, 551–559 (1961).
Rényi, A.: On the theory of order statistics. Acta Math. Hung.4, 191–231 (1953).
Rényi, A.: On mixing sequences of sets. Acta Math. Hung.9, 215–228 (1958).
Rényi, A.: On the central limit theorem for the sum of a random number of independent random variables. Acta Math. Hung.11, 97–102 (1960).
Rider, P. R.: Quasi-ranges of samples from an exponential population. Ann. Math. Stat.30, 252–254 (1959).
Wilks, S. S.: Mathematical Statistics. Princeton University Press 1943.
Wilks, S. S.: Order Statistics. Bull. Am. Math. Soc.54, 6–50 (1948).
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Supported in part under the grant NSF-G 14832.
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Rao, M.M. Theory of order statistics. Math. Ann. 147, 298–312 (1962). https://doi.org/10.1007/BF01440951
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DOI: https://doi.org/10.1007/BF01440951