Consider a sequence of n two state (success-failure) trials with outcomes arranged on a line
or on a circle. The elements of the sequence are independent (identical or non identical …

Recently, Makri, Philippou and Psillakis (2007b) studied the exact distribution of success run
statistics defined on an urn model. They derived the exact distributions of various success …

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In this paper we consider mean of success run lengths appearing in a sequence of binary
trials. We derive the exact and limiting distributions of mean success run length for iid …

Let T be a stopping time associated with a sequence of independent and identically
distributed or exchangeable random variables taking values in {0, 1, 2,…, m}, and let ST, i be …

Στη συγκεκριμένη εργασία παρουσιάζονται διαδικασίες του στατιστικού ελέγχου ποιότητας οι
οποίες σχετίζονται με την εμφάνιση δεδομένων σχηματισμών. Οι πιο γνωστές τέτοιες …

Let T be a stopping time associated with a sequence of independent random variables Z1,
Z2,.... By applying a suitable change in the probability measure we present relations …

In the present Ph. D. thesis we extend and generalize well-known runs' distributions. For this
purpose, we study exact distributions of simple patterns using the Markov chain embedding …