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LIMIT THEOREMS AND OPTIMAL DESIGN WITH ADAPTIVE URN MODELS
Urn model sequential design strong conv
2007/8/7
In this paper we study urn model, using some availableestimates of successes probabilities, and adding particleparameter, we establish adaptive models. We obtain some strongconvergence theorems, rates...
LIMIT THEOREMS FOR SUMS AND MAXIMA OF MIRWISE NEGATIVE QUADRANT DEPENDENT RANDOM VARIABLES
Partial sums and maxima pairwise negati
2007/8/7
Consider a sequence of pairwise negative quadrant dependent random variables. This paper studies the almost sure convergence of sequences of partial sums and maxima.
ON THE BOUNDEDNESS OF SOLUTIONS,EXISTENCE AND UNIQUENESS OF LIMIT CYCLES FOR A CLASS OF CUBIC DIFFERENTIAL SYSTEM
Boundedness of solutions limit cycle exi
2007/8/7
In this paper, we discuss the boundedness of the solutions, the existence and the uniqueness of the limit cycle of the following cubic differential system: x'=y, y'=-x+δy+a_2xy+a_4x+a_5x~2y. (*) We ob...
LIMIT LAWS OF LIFETIME FOR A CONSECUTIVE K-WITHIN-M-OUT-OF-N SYSTEM
Limit types reliability consecutive k-
2007/8/7
0, b_n∈R such that(T_n - b_n)/a_n converges in distribution to the two given limit types.