## Probabilistic Methods in Discrete Mathematics: Proceedings of the Fourth International Petrozavodsk Conference, Petrozavodsk, Russia, May 12-15, 1992 |

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### Contents

MarkovPolya urn model | 4 |

Asymptotic properties of random interval graphs | 19 |

A generalization of the number field sieve | 45 |

Operator and recursion equations for runs | 65 |

On the limit distribution of the height of leaves | 87 |

On the distribution of the weights of the random | 101 |

for a queue with bulk arrival | 131 |

Functional limit theorems for observations of stochastic | 145 |

lvanov | 237 |

The exact and asymptotic maximum likelihood estimates | 253 |

Discrete distributions in control problems | 267 |

On the asymptotic behaviour of the number of hyperforests | 285 |

On the absolute constant in the remainder term estimate | 305 |

The limit distributions of the Mises functional | 321 |

monomial and binomial linear equations | 333 |

On a condition of existence of integervalued random variables | 343 |

On the limit distribution of the asymmetry of random graphs | 175 |

The limit distribution of the numbers of empty cells | 189 |

On the number of permutations of n objects | 211 |

Composition of a trusted computer security system | 231 |

On the problem of optimal stack control in twolevel memory | 349 |

Asymptotic expansions in local theorems on large deviations | 359 |

List of Contributors | 367 |

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### Common terms and phrases

algorithm allocating Appl arbitrary assume asymptotic behaviour balls branching processes cells characteristic function coefficients consider convergence coprime Corollary corresponding Cox process defined denote Discrete Math distributed random variables distribution function equal estimate factor finite finite-dimensional distributions fixed following assertion formula Fx(x given identically distributed random independent identically distributed independent random variables inequality integers interval Lemma limit distributions limit theorems Markov matrix method modulo Moscow Moscow Abstract non-negative non-ordinary Cox process non-root vertices number of vertices obtain parameter particles Pavlov permutation Petrozavodsk plane planted plane planted trees Poisson Poisson distribution polynomials positive constant probability problem proof of Theorem proved random forest random graphs random processes random sums random system random tree random vectors renewal function right-hand side Russian satisfies scheme sequence statistical stochastic processes summation Theory Probab urn model v-run V. F. Kolchin values zero