Control Chart for Largest and Smallest Values
نویسندگان
چکیده
منابع مشابه
The Probabilistic Estimates on the Largest and Smallest q-Singular Values of Pre-Gaussian Random Matrices
We study the q-singular values of random matrices with pre-Gaussian entries defined in terms of the `q-quasinorm with 0 < q ≤ 1. Mainly we study the decay of the lower and upper tail probabilities of the largest q-singular value s 1 , when the number of rows of the matrices becomes very large. Furthermore, we also give probabilistic estimates for the smallest q-singular value of pre-Gaussian ra...
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Abstract. We study the q-singular values of random matrices with preGaussian entries defined in terms of the q-quasinorm with 0 < q ≤ 1. In this paper, we mainly consider the decay of the lower and upper tail probabilities of the largest q-singular value s 1 , when the number of rows of the matrices becomes very large. Based on the results in probabilistic estimates on the largest q-singular va...
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In [3] Breuer and Kronholm gave in effect two proofs for an explicit formula for the generating function for partitions where the difference between largest and smallest part is bounded by a given integer t. Their first proof is geometric, involving counting lattice points within a polyhedral region; their second proof constructs an explicit bijection. In this paper we give another proof, a for...
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Assume that claims in a portfolio of insurance contracts are described by independent and identically distributed random variables with regularly varying tails and occur according to a near mixed Poisson process. We provide a collection of results pertaining to the joint asymptotic Laplace transforms of the normalised sums of the smallest and largest claims, when the length of the considered ti...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1949
ISSN: 0003-4851
DOI: 10.1214/aoms/1177730041