摘要:

Letbe random variables anda triangular array of constants. In this paper we find the various conditions on {ani} and {Xn} under whichconverges to zero almost surely. It is shown that for the identically distributed random variables the conditionsa.s. A generalization of Marcinkiewicz's law of large numbers is given. It is shown that for the i.i.d. case the conditionsandEX= 0 imply thata.s

ISSN:0736-2994    

DOI:10.1080/07362998708809124

出版商:Marcel Dekker, Inc.    

年代:1987

数据来源: Taylor

摘要:

This paper provides an estimate for the probable number of zeros of the random trigonometric polynomialwhereare independent normal random variables with mean m and variance. It is shown that the result is valid even for m infinite

ISSN:0736-2994    

DOI:10.1080/07362998708809125

出版商:Marcel Dekker, Inc.    

年代:1987

数据来源: Taylor

摘要:

Consider a series system with n repairable components maintained by a single repairman. The following assumptions are made. Component failure and repair times are independent, exponentially distributed, random variables. Component failures can occur even while the system is not functioning and it is possible to reassign the repairman among failed components instantaneously. It is shown that the policy which always assigns the repairman to the failed component with the smallest failure rate among the failed ones maximizes the expected discounted system operation time irrespective of the values of the repair rates and the discount rate

ISSN:0736-2994    

DOI:10.1080/07362998708809126

出版商:Marcel Dekker, Inc.    

年代:1987

数据来源: Taylor

ISSN:0736-2994    

DOI:10.1080/07362998708809127

出版商:Marcel Dekker, Inc.    

年代:1987

数据来源: Taylor

摘要:

The starting point of this paper is a recent work. of de Korvin – Kleyle (Stoch Anal. Appl. 3 (1985)) on the convergence of set valued supermartingales with values in a separable Banach space. Since their motivation is to model information systems with goal uncertainty, they introduce the spmg–convergence. Here we present another version of this theorem with a different type of convergence. In fact in finite dimensions this mode is convergence in the Eausdroffmetric. Finally i we generalize to set valued quasimartingales

ISSN:0736-2994    

DOI:10.1080/07362998708809128

出版商:Marcel Dekker, Inc.    

年代:1987

数据来源: Taylor

摘要:

The existence of random solutions is established for a class of random Volterra integral inclusions in which the orientor field has a stochastic domain. The proof is based on a stochastic analog of the Tietze extension theorem and on a deterministic existence result which are established as well in the paper. In particular the deterministic existence theorem is stated and proved for nonconvex orientor fields

ISSN:0736-2994    

DOI:10.1080/07362998708809129

出版商:Marcel Dekker, Inc.    

年代:1987

数据来源: Taylor

摘要:

Pointwise Weak Law of Large Numbers and Weak Law of Large Numbers in the norm topology of D[0,l] are shown to be equivalent under uniform convex tightness and uniform integrability conditions for weighted sums of a sequence of random elements in D[0,1]. Uniform convex tightness and uniform integrability conditions are jointly characterized. Marcinkiewicz–Zygmund–Kolmogorov's and Brunk– Chung's Strong Laws of Large Numbers are derived in the setting of D[0,l]-space under uniform convex tightness and uniform integrability conditions. Equivalence of pointwise convergence, convergence in the Skorokhod topology and convergence in the norm topology f o r sequences in D[0,l] is studied

ISSN:0736-2994    

DOI:10.1080/07362998708809130

出版商:Marcel Dekker, Inc.    

年代:1987

数据来源: Taylor

摘要:

Consider a sequence of independent, identically distributed random variablesand sequences of constants. Sets of necessary and/or sufficient conditions are provided forto obey the general strong law of large numbers with norming constantsthat is, for the normed weighted sumto converge almost certainly to 0. An example is also given showing thatconstant < 0 almost certainly can prevail even when an> 0, n≥l, and Y1is bounded from below but not from above

ISSN:0736-2994    

DOI:10.1080/07362998708809131

出版商:Marcel Dekker, Inc.    

年代:1987

数据来源: Taylor

ISSN:0736-2994    

DOI:10.1080/07362998708809123

出版商:Marcel Dekker, Inc.    

年代:1987

数据来源: Taylor