## Monte Carlo Methods and Applications

Volume 2, 1996

## Contents

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### Number 1, pp.1-90

*I. Radovic, I.M. Sobol and R.F. Tichy*

Quasi-Monte Carlo methods for numerical integration:
comparison of different low discrepancy sequences

1

*K. Takashima*

On the number of multiples of certain primitive polynomials
over GF(2)

15

*S.V. Rogasinsky*

On the pair correlations of particle evolution
in the direct statistical simulation

25

*K.K. Sabelfeld, S.V. Rogasinsky, A.A. Kolodko and A.I. Levykin*

Stochastic algorithms for solving Smolouchovsky equation
and applications to aerosol growth simulation

41

Second International Workshop on Mathematical Methods
in Stochastic Simulation and Experimental Design

89

### Number 2, pp.93-174

*V.Bally and D.Talay*

The law of Euler scheme for stochastic differential equations:
II. Convergence rate of the density

93

*G.C.Sharma and M.S.Chauhan*

Preventive maintenance of an M^X/G/1 queue-like production system

129

*M.S.Chauhan and G.C.Sharma*

Profit analysis of M/M/r queueing model with balking and reneging

139

*Yu.N.Kopylov, I.S.Postnova, V.A.Shpack and G.S.Zinchenko*

Monte Carlo modeling of radioactive fallout
under land-based nuclear bursts

145

*K.K. Sabelfeld and T.A. Averina*

Monte Carlo Simulation of Particle's Dispersion in Convective
Boundary Layer of the Atmosphere

159

### Number 3, pp.175-254

*S. Ogawa*

On a Robustness of the Random Particle Method

175

*D. Ugrin-Sparac*

A Natural Algorithm for Generation Pseudo-Random Numbers and its
Applications

191

*M.V. Antipov*

Sequences of Numbers for Monte Carlo Methods

219

*L.N. Sahoo and M. Dalabehera*

A Monte-Carlo Comparison of Six Almost Unbiased Ratio
Estimators

237

### Number 4, pp.255-346

*G. Ökten*

A probabilistic result on the discrepancy of a hybrid-Monte Carlo
sequence and applications

255

*K. Fukuyama*

Riesz--Raikov sums and Weyl transform

271

*B. Tuffin*

On the use of low discrepancy sequences in Monte Carlo methods

295

*Y.-J. Xiao*

Variation of product function and numerical solutions of some partial
differential equations by low-discrepancy sequences

321

*K. Takashima*

On Hamming weight test and sojourn time test of *m*-sequences

331

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