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Title of Journal: Methodol Comput Appl Probab

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Abbravation: Methodology and Computing in Applied Probability

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Springer US

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DOI

10.1007/s11430-008-6012-y

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1573-7713

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Waiting Time Distribution for the Emergence of Sup

Authors: Anant P Godbole Martha Liendo
Publish Date: 2015/02/13
Volume: 18, Issue: 2, Pages: 517-528
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Abstract

Consider a sequence X n n=1infty of iid uniform random variables taking values in the alphabet set 1 2… d A ksuperpattern is a realization of X n n=1t that contains as an embedded subsequence each of the nonorderisomorphic subpatterns of length k We focus on the nontrivial case of d = k = 3 and study the waiting time distribution of tau =inf tge 1X n n=1t text is a superpattern Our restricted setup leads to proofs that are very combinatorial in nature since we are essentially conducting a string analysis

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  2. Initial and Final Backward and Forward Discrete Time Non-homogeneous Semi-Markov Credit Risk Models
  3. Random Databases with Approximate Record Matching
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  7. Saddlepoint Approximations to Tail Probabilities and Quantiles of Inhomogeneous Discounted Compound Poisson Processes with Periodic Intensity Functions
  8. On Estimation of the Intensity Function of a Point Process
  9. Call Option Prices Based on Bessel Processes
  10. Goodness-of-Fit Tests for Continuous Regression
  11. Computing the Expected Markov Reward Rates with Stationarity Detection and Relative Error Control
  12. Estimating Stochastic Dynamical Systems Driven by a Continuous-Time Jump Markov Process
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