Sotirios Loukas, Evgenia H. Papageorgiou (1991)
Applications of Mathematics
A four parameter trivariate Poisson distribution is considered. Recurrences for the probabilities and the partial derivatives of the probabilities with respect to the parameters are derived. Solutions of the maximum likelihood equations are obtaired and the determinant of their asymptotic covariance matrix is given. Applications of the maximum likelihood estimation technique to simulated data sets are also examined.
Silvelyn Zwanzig (1994)
Kybernetika
Ewa Synówka-Bejenka, Stefan Zontek (2016)
Kybernetika
The paper refers to the research on the characterization of admissible estimators initiated by Cohen [2]. In our paper it is proved that for linear models with finitely generated parameter space the limit of a sequence of the unique locally best linear estimators is admissible. This result is used to give a characterization of admissible linear estimators of fixed and random effects in a random linear model for spatially located sensors measuring intensity of a source of signals in discrete instants...
Lubomír Kubáček (2002)
Mathematica Slovaca
Elliott Nebenzahl (1984)
Trabajos de Estadística e Investigación Operativa
Simon and Weiss (1975) consider the formulation of the clinical trial as a selection procedure (Bechhofer, Kiefer and Sobel, 1968). The object of the trial is to choose the better treatment with probability ≥ P*, where P* is assigned, when the difference in success probabilities is ≥ Δ*, Δ* also being assigned. They consider a family of single step allocation methods for the reduction of the number of patients given the poorer treatment. Using numerical results, Simon and Weiss conclude that if...
Jan Hurt, Petr Lachout, Dietmar Pfeifer (2001)
Kybernetika
In this paper we consider the problem of estimating the intensity of a spatial homogeneous Poisson process if a part of the observations (quadrat counts) is censored. The actual problem has occurred during a court case when one of the authors was a referee for the defense.
A. Zaigraev, A. Podraza-Karakulska (2008)
Applicationes Mathematicae
The maximum likelihood scale invariant estimator of the shape parameter of the gamma distribution, proposed by the authors [Statist. Probab. Lett. 78 (2008)], is considered. The asymptotics of the mean square error of this estimator, with respect to that of the usual maximum likelihood estimator, is established.
Michal Friesl, Jan Hurt (2007)
Kybernetika
The paper gives some basic ideas of both the construction and investigation of the properties of the Bayesian estimates of certain parametric functions of the parent exponential distribution under the model of random censorship assuming the Koziol–Green model. Various prior distributions are investigated and the corresponding estimates are derived. The stress is put on the asymptotic properties of the estimates with the particular stress on the Bayesian risk. Small sample properties are studied...
U.D. NAIK (1974)
Metrika
W. A. T. Archambault, Jr., P. W. Mikulski (1979)
Applicationes Mathematicae
J. Łukaszewicz, W. Sadowski (1960)
Applicationes Mathematicae
Agustín G. Nogales, José A. Oyola, Paloma Pérez (1999)
Extracta Mathematicae
František Rublík (1995)
Kybernetika
Ivan Mizera (1994)
Kybernetika
František Rublík (1995)
Kybernetika
Ferdinand Österreicher, Heinz Stadler (1977)
Kybernetika
Waldemar Popiński (2012)
Applicationes Mathematicae
In this work the problem of characterization of the Discrete Fourier Transform (DFT) spectrum of an original complex-valued signal , t=0,1,...,n-1, modulated by random fluctuations of its amplitude and/or phase is investigated. It is assumed that the amplitude and/or phase of the signal at discrete times of observation are distorted by realizations of uncorrelated random variables or randomly permuted sequences of complex numbers. We derive the expected values and bounds on the variances of such...
Waldemar Popiński (2013)
Applicationes Mathematicae
Asymptotic properties of the Discrete Fourier Transform spectrum of a complex monochromatic oscillation with frequency randomly distorted at the observation times t=0,1,..., n-1 by a series of independent and identically distributed fluctuations is investigated. It is proved that the second moments of the spectrum at the discrete Fourier frequencies converge uniformly to zero as n → ∞ for certain frequency fluctuation distributions. The observed effect occurs even for frequency fluctuations with...
Karunamuni, R.J., Wei, L. (2006)
International Journal of Mathematics and Mathematical Sciences
Jordi Ocaña, M. Pilar Sánchez O., Álex Sánchez, Josep Lluís Carrasco (2008)
SORT
Equivalence testing is the natural approach to many statistical problems. First, its main application, bioequivalence testing, is reviewed. The basic concepts of bioequivalence testing (2×2 crossover designs, TOST, interval inclusion principle, etc.) and its problems (TOST biased character, the carryover problem, etc.) are considered. Next, equivalence testing is discussed more generally. Some applications and methods are reviewed and the relation of equivalence testing and distance-based inference...