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991.
Diarmuid O'driscoll 《统计学通讯:模拟与计算》2013,42(9):1373-1382
The slope of the best fit line from minimizing the sum of the squared oblique errors is the root of a polynomial of degree four. This geometric view of measurement errors is used to give insight into the performance of various slope estimators for the measurement error model including an adjusted fourth moment estimator introduced by Gillard and Iles (2005) to remove the jump discontinuity in the estimator of Copas (1972). The polynomial of degree four is associated with a minimun deviation estimator. A simulation study compares these estimators showing improvement in bias and mean squared error. 相似文献
992.
ABSTRACTEstimating functionshave been shown to be convenient to study inference for non linear time series models. Recently, Thavaneswaran et al. (2012) used combined estimating functions to study inference for random coefficient autoregressive (RCA) models with generalized autoregressive heteroscedasticity errors. While most RCA modeling assumes that the random term and the error are independent, Chandra and Taniguchi (2001) studied inference for RCA models with correlated errors using linear estimating functions. In this paper, we derive the quadratic estimating functions for the joint estimation of the conditional mean, variance, and correlation parameters of the RCA models with correlated errors. 相似文献
993.
ABSTRACTIn 2007, Domínguez-Molina et al. obtained the moment generating function (mgf) of the matrix variate closed skew normal distribution. In this paper, we use their mgf to obtain the first two moments and some additional properties of quadratic forms for the matrix variate skew normal distributions. The quadratic forms are particularly interesting because they are essentially correlation tests that introduce a new type of orthogonality condition. 相似文献
994.
Ioannis A. Koutrouvelis 《统计学通讯:理论与方法》2013,42(8):2450-2464
ABSTRACTThe compound Poisson-exponential distribution is a basic model in risk analysis and stochastic hydrology. Graphical procedures for assessing this distribution are proposed which utilize the residuals from a regression involving the moment generating function. Plots furnished with a 95% simultaneous confidence band are constructed. The band and critical points of the equivalent goodness-of-fit test are found by utilizing asymptotic results and fitted regressions involving the supremum of the standardized residuals, the sample size, and the estimated Poisson mean. Simulation results indicate that the tests have good level stability and appreciable power against competing compound Poisson distributions of a mixed type. 相似文献
995.
In this paper, we present conditions on the likelihood function and on the prior distribution which permit us to assess the effect of the sample on the posterior distribution. Our work is inspired by Whitt (1979) J. Amer. Statist. Assoc. 74, and is based on the notions of multivariate totally positive and (strongly) mul-tivariate reverse rule functions introduced and studied by Karlin and Rinott (1980a, b) 相似文献
996.
The weighted and integrated squared error between the sample characteristic function and the assumed characteristic function is shown to be an effective procedure for estimation of mixing proportions. For a particular form of the weighting, this procedure is equivalent to that of minimization with respect to the mixing proportions of the integrated squared error between a density and its kernel estimate. The efficiency, mean squared error, and ease of computation properties of this procedure are compared against those of several competitors. 相似文献
997.
998.
999.
James E Daly 《统计学通讯:理论与方法》2013,42(9):2921-2931
In this note, a stopping rule is derived that gives the optimal histogram bin width to approximate a probability density function, The procedure minimizes the mean integrated square error between the density function and the histogram, and requires no prior knowledge of the density function. 相似文献
1000.
Andreas N. Philippou Gregory A. Tripsiannis Demetris L. Antzoulakos 《统计学通讯:理论与方法》2013,42(6):2125-2137
New Polya and inverse Polya distributions of order k are derived by means of generalized urn models and by compounding the binomial and negative binomial distributions of order k of Philippou (1986, 1983) with the beta distribution. It i s noted that the present Polpa distribution of order k includes as special cases a new hypergeometric distribution of order k, a negative one,an inverse one, and a discrete uniform of the same order. The probability generating functions, means and variances of the new distributions are obtained, and five asymptotic results are established relating them to the abovedmentioned binomial and negative binomial distributions of order k, and to the Poisson distribution of the same order of Philippou (1983).Moment estimates are also given and applications are indicated. 相似文献