摘要:

A study is made of the asymptotic behaviour of quantities of the form, where π is randomly chosen from the uniform distribution over the set of permutations of.Ucan always be decomposed into the sum of two uncorrelated parts, one degenerate and the other non-degenerate. When the non-degeneratepart dominates asymptotically, the limit law forUis typically nonn.al. When the degenerate part dominates, the limit law is sometimes normal and sometimes a quadratic form in correlated normal variables. Applications to random vertex colourings of graphs are discussed

ISSN:0736-2994    

DOI:10.1080/07362998608809090

出版商:Marcel Dekker, Inc.    

年代:1986

数据来源: Taylor

摘要:

This paper studies the limit behaviour ofwhere {Zn} is a real-valued temporally homogeneous Markov chain, and {an} and {bn} are some constants; the results are then applied to a general population model. In such a model Znrepresents the nth generation population size and is defined asare the offspring variables of the (n-1)th generation which are assumed to depend on n, i and Zn-1whereas the classical conditional independence ofgiven Znas superseded by milder assumptions. Some necessary and sufficient conditions for {Zn/bn} to converge a.s. are derived, and some results on the robustness of the asymptotic behaviour of the Galton-Watson process are obtained when offspring independence is relaxed

ISSN:0736-2994    

DOI:10.1080/07362998608809091

出版商:Marcel Dekker, Inc.    

年代:1986

数据来源: Taylor

摘要:

This paper considers a shared parallel system consisting of n-units supported by single service facility to carry out both installation and repair of a unit. Initially, all the n units share the total load equally and when one or more units fail, they go for repair while the other surviving units share the entire load equally till the failed units are ready for operation after installation. The installation time (switchover time) of a repaired unit is assumed to be non-negligible and random. The system will be down when all the units are non-operative , Assuming that the failure rates are different when the units function under varying loads, the system characteristics, namely, (1) the expected up-time of the system during (0, t], (2) the expected repair time of the units which failed due to varying failure rates during (0, t] and (3) the expected time spent by the units in the installation state during the period (0, t], are obtained by identifying the system at suitable regeneration epochs. The repair time and the switchover time of the units are arbitrarily distributed. The failure rate of unit is assumed to be constant. It depends on the number of surviving units at any instant. The cost-benefit analysis is also carried out using these system characteristics

ISSN:0736-2994    

DOI:10.1080/07362998608809092

出版商:Marcel Dekker, Inc.    

年代:1986

数据来源: Taylor

摘要:

This paper deals with the analysis of 1-server n-unit system. At t = 0, all the units are switched on. The repair times of the units are arbitrarily distributed, while the failure rates of the units are constants. The system is analysed by writing integral equations for the probabilities of the system being found in various states by identifying it at suitable regeneration epochs. These equations are solved using integral transforms. The following system characteristics, namely,

ISSN:0736-2994    

DOI:10.1080/07362998608809093

出版商:Marcel Dekker, Inc.    

年代:1986

数据来源: Taylor

摘要:

We give a stopped Doob inequality for a right continuous martingale in Hilbert space,, Using this we obtain inequalities for p-th moments with 0 < p < in terms of the Meyer process and the quadratic variation of the pure jump part. We also consider the convolution of a contraction type semigroup and a right continuous martingale and obtain inequalities similar to those of a martingale

ISSN:0736-2994    

DOI:10.1080/07362998608809094

出版商:Marcel Dekker, Inc.    

年代:1986

数据来源: Taylor

摘要:

We extend the Kac-Rice formula for the expected number of real zeros of random algebraic polynomials on R1with R1-valued random coefficients to complex zeros of random algebraic polynomials on C1with C1-valued random coefficients. Our method directly extends to multivariable cases

ISSN:0736-2994    

DOI:10.1080/07362998608809095

出版商:Marcel Dekker, Inc.    

年代:1986

数据来源: Taylor

摘要:

The bounds derived by Arnold and Groeneveld [l] for the expectation of linear combinations of order statistics are slightly extended, and this allows us to deduce directly as particular cases the upper bounds obtained by Aven [2] for the expectation of the maximum of a number of random variables. These latter bounds are then used to construct simple explicit upper bounds for the mean completion time in Pert networks

ISSN:0736-2994    

DOI:10.1080/07362998608809096

出版商:Marcel Dekker, Inc.    

年代:1986

数据来源: Taylor

摘要:

We consider, in this article, interaction of two types of events, arriving according to a stationary point process, resulting in a process consisting of response yielding events. The interval density between two consecutive responses are of interest. Certain applications in neurophysiology, and replacement models are indicated

ISSN:0736-2994    

DOI:10.1080/07362998608809097

出版商:Marcel Dekker, Inc.    

年代:1986

数据来源: Taylor

ISSN:0736-2994    

DOI:10.1080/07362998608809089

出版商:Marcel Dekker, Inc.    

年代:1986

数据来源: Taylor