Zap. Nauchn. Sem. LOMI, 1988, Volume 166

JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1988, Volume 166

Contents

Studies in mathematical statistics. Part 8

	Observations of unequal accuracy in the Behrens-Fisher problem N. K. Bakirov		6
	Asymptotic properties of estimators of parameters of the Weibull distribution E. O. Balitskaya, L. A. Zolotuhina		9
	Some particular formulas for inversion of Laplace transforms and their application to the problem of unbiased estimation of parameters of probability distributions V. G. Voinov		17
	On the strong law of large numbers for the middle part of a sample V. A. Egorov		25
	Estimation of density of a probability distribution by spline functions I. L. Yeliseyenko		32
	Asymptotically minimax criteria for testing non-parametric hypotheses on the probability density M. S. Ermakov		44
	The analytical precising of the Heyde theorem on linear forms of independent random variables A. M. Kagan		54
	On renewal of a distribution by the mean values of the minima of a random number of random variables L. B. Klebanov		60
	On one-side convergence of the modified Robbins–Monro process T. P. Krasulina		63
	Asymptotic behavior of the $P$-value of the omega square statistic in the goodness-of-fit testing problem R. S. Leont'ev		67
	Statistical problems of choice and synthesis of optimal algorithms N. N. Ljashenko, E. L. Evnevich		72
	Random “granula” images. II N. N. Ljashenko		91
	Centering and normalizing constants for extrema and records V. B. Nevzorov		103
	The Bahadur efficiency and local asymptotic optimality of some non-parametric tests of independence Ya. Yu. Nikitin, A. G. Pankratova		112
	Estimation of efficiency of the Bol'shev decision rule in the problem of distinguishing two hypotheses M. S. Nikulin		129
	Non-parametric estimation of a nonlinear functional of regression in case of the given plan Yu. I. Pastukhova		143
	Generalized geometric stable distributions R. N. Pillai		155
	Construction of random variables according to probabilities of their binary digits B. B. Pokhodzei		160
	The condition of mutual absolute continuity of two Gaussian measures corresponding to a stationary process and asymptotic behaviour of the reproducing kernel V. N. Solev		164
	Statistics of the weighted Voronoi partition with the Poisson field of centers: Estimation of the volume content B. P. Harlamov		167
	The information operator and asymptotic behaviour of the Toeplitz determinant K. A. Tsertsvadze		179