EDF Statistics for Goodness-of-Fit: Part 1 (2006)
The paper deals with EDF statistics, a class of goodness-of-fit statistics. They are based on a comparison of F(x) with the empirical distribution function (F sub n)(x). Recent work has now made it...
The Modified Cramer-von Mises Goodness-of-Fit Criterion for Time Series (2006)
Anderson, T. W., Stephens, M. A.
In this paper we consider somewhat analogous quadratic forms in normal variables when the dimensionality is infinite. Then the quadratic forms are distributed infinite weighted SUMS Of X2 -variables....
KOLMOGOROV-TYPE TESTS FOR EXPONENTIALITY WHEN THE SCALE PARAMETER IS UNKNOWN (2005)
The paper shows how four statistics (Kolmogorov-Smirnov, Cramer-von Mises, and the Kuiper and Watson extensions) may be used to test whether a given sample comes from the exponential distribution...
TECHNIQUES FOR DIRECTIONAL DATA (2005)
Statistical data in the form of directions may be recorded as two- or three-dimensional unit vectors from an origin O to points P on the circumference of a circle or the surface of a sphere. In...
Tests for Randomness of Directions against Equatorial and Biomodal Alternatives. (2005)
Anderson,T. W., Stephens,M. A.
The paper is concerned with tests of randomness of directions in three-dimensional space or equivalently tests of uniform distribution of points on the unit sphere. One test is against alternatives...
Two Items Concerning Directional Data (2004)
A discussion is given of confidence procedures for the model vector A of a von Mises or Fisher distribution. Slight revisions of confidence levels are suggested because the usual procedure strictly...
Pearson Curves Revisited. (2002)
This report discusses the use of Pearson curves to give approximate percentage points to intractable distributions, when the first four moments (or three moments and one end-point) are available. It...
Estimation of Parameters of Zero-One Processes by Interval Sampling. (2002)
Brown,M., Solomon,H., Stephens,M. A.
Processes in which one of two states is available for observation occur in a number of diverse applications. Since we can label the occurrence of one of the states by zero and the other state by one,...
This paper considers modifications of Cramer-von Mises type goodness-of-fit statistics based on the sample distribution function when observations are censored. The asymptotic distributions of the...
The Covariance Matrix of Normal Order Statistics. (2002)
An approximation is given to calculate V, the covariance matrix for normal order statistics. The approximation gives considerable improvement over previous approximations, and the computing algorithm...
Estimation of Parameters of Zero-One Processes by Interval Sampling: An Adaptive Strategy. (2002)
Brown,M., Solomon,Herbert, Stephens,M. A.
In a previous paper, the problem of estimating the parameters was considered giving the mean time in each stage, for a two-stage Poisson process, when sampling was permitted only at equal intervals....
Distribution of a Sum of Weighted Chi-Square Variables. (2002)
This paper discusses how to obtain percentage points of the distribution of a sum of k weighted chi-square variables. A table of points is given for selected weights, for k = 6, 8, 10 (existing...
On the Accuracy of Simulated Percentage Points. (2002)
Juritz,J. M., Juritz,J. W. F., Stephens,M. A.
The estimates of percentage points of a distribution, obtained from one large sample of Monte Carlo values, are compared with those obtained by dividing the large sample into several subsamples and...
EDF Statistics for Testing for the Gamma Distribution, with Applications. (2002)
Several years ago the authors found percentage points for EDF statistics for the Gamma distribution with known shape parameter but unknown scale parameter (the origin of the distribution was assumed...
Tests of Fit Based on Normalized Spacings. (2002)
Lockhart,R. A., O'Reilly,F. J., Stephens,M. A.
Normalized spacings provide useful tests of fit for many suitably regular continuous distributions; attractive features of the tests are that they can be used with unknown parameters and also with...
A Collection of Probability Distributions. (2002)
A large number of probability distributions, with at least the first four moments known and methods of obtaining cumulative distribution functions or percentage points available, is presented. They...
Transforming Censored Samples and Testing Fit. (2002)
O'Reilly,F. J., Stephens,M. A.
One approach to testing the goodness-of-fit of a completely specified continuous distribution with a censored sample, is to transform the corresponding uniform censored sample into a complete uniform...
Tests for the Extreme Value and Weibull Distributions Based on Normalized Spacings. (2002)
Lockhart,R. A., O'Reilly,F., Stephens,M. A.
In this article we compare tests of the null hypothesis HO that a sample, which may be censored at one or both ends, comes from an extreme-value distribution with unknown location and scale...
Round-Off Errors in Mediaeval Tables (2000)
The distribution of error is considered when a function y of x is rounded, and when x is uniformly distributed. The example discussed is y - sin x, and it is thought that the round-off error might be...
THE VNM TWO-SAMPLE TEST. (1998)
The paper gives tables for the two-sample goodness of fit statistic V sub NM. This is a modification of the Kolmogorov statistics introduced especially for use with distributions on a circle, though...
Kolmogorov Statistics for Tests of Fit for the Extreme-Value and Weibull Distributions, (1998)
Chandra,M., Singpurwalla,N. D., Stephens,M. A.
Sponsored in part by Contracts N00014-76-C-0475 and DAAG29-77-C-0031 and NRC-04-78-239.
Asymptotic Distribution of the Shapiro-Wilk W for Testing for Normality. (1998)
Leslie, J. R., Stephens, M. A., Fotopoulos, S.
Twenty years have elapsed since the Shapiro-Wilk statistic W for testing the normality of a sample first appeared. In that time a number of statistics which are close relatives of W have been found...
Tests for the Gamma Distribution with Estimated Shape Parameters. (1998)
Lockhart, R. A., Stephens, M. A.
It is well known that the distributions of the goodness -of-fit statistics W squared, U squared, A squared do not depend on location and scale parameters even when these parameters must be estimated....
An Extension of Cochran's Test for Homogeneity of Variances. (1998)
Cochran's test for equality of k normal population variances consists of comparing the largest of the set of k sample variances, all based on the same number of degrees of freedom n, with the sum of...
Tests of Fit Based on the Correlation Coefficient. (1998)
Lockhart, Richard A., Stephens, M. A.
In testing fit of a sample to a specific family of distributions F, probability-plots use a plot of the order statistics of the sample against a set of suitable constants. These are chosen so that if...
Tests of Fit for the Cauchy Distribution Based on the Empirical Distribution Function. (1998)
Points are given for testing goodness of fit to the Cauchy distribution, with unknown location and/or scale parameters. The tests are based on the empirical distribution function, and the asymptotic...
An Appreciation of Kolmogorov's 1933 Paper. (1998)
An account is given of the paper published in 1933, in which A. N. Kolmogorov introduced the statistic which bears his name. The paper was seminal in the development of goodness-of-fit procedures....
On Watson's ANOVA for Directions. (1998)
Watson's ANOVA technique for analyzing unit vectors in p dimensions has been usually used with directional data, with p=2 or 3. It is shown how the one-way ANOVA can be extended to a multiway layout,...
Studies of spiroplasma viruses. (1980)
Thesis (Ph. D.)--University of East Anglia, 1980.
Integrable alpha-amylase plasmid for generating random transcriptional fusions in Bacillus subtilis.
O'Kane, C, Stephens, M A, McConnell, D
An integrable plasmid, pOK4, which replicated independently in Escherichia coli was constructed for generating transcriptional fusions in vivo in Bacillus DNA. It did not replicate independently in...
Stephens, M A, Ortlepp, S A, Ollington, J F, McConnell, D J
The DNA sequence of the 5' region of the Bacillus licheniformis alpha-amylase gene is reported. Comparison of the inferred amino acid sequence of the B. licheniformis alpha-amylase gene with that of...
A site-specific endonuclease, SciNI, has been partially purified from the plant pathogen Spiroplasma citri. The enzyme recognizes the sequence 5'-G-C-G-C-3' and cleaves between the first G and C....
Integrable alpha-amylase plasmid for generating random transcriptional fusions in Bacillus subtilis.
O'Kane, C, Stephens, M A, McConnell, D
An integrable plasmid, pOK4, which replicated independently in Escherichia coli was constructed for generating transcriptional fusions in vivo in Bacillus DNA. It did not replicate independently in...
Stephens, M A, Ortlepp, S A, Ollington, J F, McConnell, D J
The DNA sequence of the 5' region of the Bacillus licheniformis alpha-amylase gene is reported. Comparison of the inferred amino acid sequence of the B. licheniformis alpha-amylase gene with that of...
A site-specific endonuclease, SciNI, has been partially purified from the plant pathogen Spiroplasma citri. The enzyme recognizes the sequence 5'-G-C-G-C-3' and cleaves between the first G and C....