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Topic: An inequality on location and scale parameters

	Median - Wikipedia, the free encyclopedia
		When the median is used as a location parameter in descriptive statistics, there are several choices for a measure of variability: the range, the interquartile range, and the absolute deviation.
		The median of an exponential distribution with parameter λ is the scale parameter times the natural log of 2, λln 2.
		See an inequality on location and scale parameters.
	en.wikipedia.org /wiki/Median (926 words)

	Genome Biology \| Full text \| Exploratory differential gene expression analysis in microarray experiments with no or ...
		An outlier could represent one of five circumstances: a gene with higher individual variability than the majority of genes; an outlier by chance; a sporadic technical or biological outlier; a systematic technical outlier (due to, for example, heteroscedasticity); or a systematic biological outlier due to differential expression.
		An adjustment for Gaussian efficiency is necessary for the application of robust estimators [31] such as those we use for outlier identification in the presence of heteroscedasticity.
		The scale factor is defined as ratio in the simulated data of the Huber τ-estimate for scale to the average scale estimate (based on the supsmu (or lowess) scale estimator).
	www.genomebiology.com /2004/5/3/R18 (9090 words)

	THE WAVELET TUTORIAL PART III by ROBI POLIKAR
		The parameter scale in the wavelet analysis is similar to the scale used in maps.
		Similarly, higher scales have scale frequency resolution (wider support in scale, which means it is more ambitious what the exact value of the scale is), which correspond to better frequency resolution of lower frequencies.
		At the next scale value, s=4, the sampling rate of time axis is reduced by a factor of 2 since the scale is increased by a factor of 2, and therefore, only 16 samples are taken.
	users.rowan.edu /~polikar/WAVELETS/WTpart3.html (5094 words)

	Jingshan's Statistical Research Interests
		In the multivariate one sample location problem, the theory of permutation distribution under sign-invariant transformations is extended to a class of rank order statistics, and this is utilized in the formulation of a genuinely distribution free class of rank order tests for location (based on Chernoff-Savage (1958) type of test-statistics).
		An application of the signed-rank tests to a repeated-meas urement setting is presented.
		In this case, the highly robust dispersion matrix estimator turns out to be an interesting compromise between the high efficiency of the method of moment estimator in noncontaminated situations and the highly robust properties of the minimum volume ellipsoid and minimum covariance determinant estimators in contaminated situations.
	www.stat.rutgers.edu /~jszhang/stat/MulTest.html (2440 words)

	The UNIVARIATE Procedure : Statistical Computations
		For a symmetric distribution, the symmetrically trimmed mean is an unbiased estimate of the population mean.
		(An exception is the two-parameter Weibull distribution, where the line appears when you specify or estimate the scale and shape parameters.) Agreement between this line and the point pattern indicates that the distribution with these parameters is a good fit.
		(An exception to this rule is the two-parameter Weibull distribution, for which the intercept and slope are related to the scale and shape parameters.) When you use the QQPLOT statement to specify or estimate the slope and intercept of the line, a diagonal distribution reference line appears on the Q-Q plot.
	v8doc.sas.com /sashtml/proc/zte-comp.htm (4285 words)

	AAS Biographical Memoirs - Edwin James George Pitman 1897-1993
		His two papers(3) on inference about location and scale parameters are classics; they define clearly the class of continuous distributions to which the theory may be applied and the limitations to which the inferences drawn from the analysis are subject.
		In his treatment of the Cramér-Rao Inequality, for instance, he states, 'We want to apply the Cramér-Rao inequality to statistics that we do not know, and so the regularity conditions should ask as little as possible of the statistic S...and should be mainly concerned with the family of measures which we know completely'.
		He was an active member of the Church of England in Australia and took part in the negotiations that led to its transformation to the Anglican Church of Australia.
	www.asap.unimelb.edu.au /bsparcs/aasmemoirs/pitman.htm (4470 words)

	Dr Z.Govindarajulu's Home Page
		Sequential estimation of the scale parameter in exponential distribution with unknown location (with S.C. Sarkar).
		Fixed-width confidence interval estimation of scale parameter of exponential distribution with unknown location.
		``Estimation of the parameters of bivariate gamma populations'' (M.S. Thesis: University of Madras, India) (1956).
	www.ms.uky.edu /~raju (3021 words)

	PARAMETERS, US Army War College Quarterly - Spring 1996
		Finally, Part V is an attempt to tie all the threads together and to see where we are headed.
		The number of bureaucrats (the word itself is an 18th-century neologism) multiplied, and the amount of statistical information at their disposal increased, as did the share of GDP that was extracted by government.
		Seen from this point of view, the Bolshevik Revolution of 1917 was anything but an anomaly; instead it was simply an attempt to grab one particularly backward country by the neck, institute universal welfare at a single stroke, and extend state control to the point where civil society itself almost ceased to exist.
	www.carlisle.army.mil /usawc/Parameters/96spring/creveld.htm (6193 words)

	Normal Probability Plots
		Normal probability plots are often used as an informal means of assessing the non-normality of a set of data.
		is easy to explain to students in an elementary statistics course and to researchers from other fields, since it is linked to a graphical technique (probability plots) and is based on a technique taught early in most courses (correlation coefficient).
		An example is the asymptotic values of the correlation coefficient for alternative distributions.
	www.minitab.com /resources/articles/normprob.aspx (2778 words)

	Unnamed Web page (Site not responding. Last check: 2007-10-11)
		Descriptive statistics: measures of location, spread, skewness, kurtosis; measures of association; various properties of these measures and their utility (illustration with specific examples and numerical exercises, possibly using statistical packages).
		An Introduction to the Theory of Statistics by G.U. Yule and M.G. Kendall.
		An Introduction to the Study of Population by B.D. Mishra.
	www.isical.ac.in /~sdebasis/isipage/bstat.html (6422 words)

	[No title] (Site not responding. Last check: 2007-10-11)
		MA 554 Variational Inequalities and Applications 2 1 0 6 Prerequisite : MA 404 (Exposure) Minimization of convex functionals: Fundamental theorem, variational formulation of a minimization problem, projections on convex sets.
		Either an interpreted language such as Scheme or the language of Mathematica should be used for the programming exercises.
		Efron and R. Tibshirani, An Introduction to the Bootstrap, Chapman and Hall, 1993.
	www.math.iitb.ac.in /course.html (9704 words)

	LIMDEP (Site not responding. Last check: 2007-10-11)
		The two parameters of the distribution are specified to depend on a set of exogenous variables.
		In all cases, the location, scale and shape parameters of the models are specified as functions of exogenous variables.
		Several models have been added to the set in which the scale parameter (such as the regression variance) may be made a function of exogenous variables.
	www.limdep.com /whatsnew_models.shtml (701 words)

	M.Stat. Student's Brochure, ISI (Site not responding. Last check: 2007-10-11)
		An academic year usually starts in July-August and continues till May, consisting of two semesters with a recess in-between.
		This examination is held at the same time as the back-paper examinations for that semester and a student taking this examination is not given any other examination in the course.
		Deterministic and stochastic modelsfor epidemics and endemics, interference models, vaccination models, geographical spread, parasitic diseases, parameter estimation related to latent, infection and incubation periods.
	www.isical.ac.in /~deanweb/mstsyll.html (7770 words)

	Bioinformatics Software Development Course
		The reason why there is an "extra" emboss directory (/home/fred/emboss/) is that it provides a convenient place to install the bin, lib and share directories when a "make install" command is issued (more on this shortly).
		Values for parameters and standard qualifiers are always prompted for (with their default value) if not specified on the command line.
		The difference with parameters is that you don't have to mention the label of the datatype whereas with qualifiers you do.
	emboss.sourceforge.net /developers/developers_course/practicals.html (11549 words)

	Nickos Papadatos Home Page
		Variance inequalities for covariance kernels and applications to central limit theorems (pdf), Cacoullos, T., Papadatos, N. and Papathanasiou, V., Theory of Probability and its Applications 42 (1997), 195-201.
		An application of a density transform and the local limit theorem (pdf), Cacoullos, T., Papadatos, N. and Papathanasiou, V., Theory of Probability and its Applications 46 (2001), 803-810.
		The use of spacings in the estimation of a scale parameter (pdf), Balakrishnan, N. and Papadatos, N., Statistics and Probability Letters 57 (2002), 193-204.
	www.cc.uoa.gr /~npapadat/papers (621 words)

	Mathematics, Courses Fall 2004
		Grading: Regular grades are awarded for this course: A B C D E. Prerequisite(s): MATH 110/112 or an acceptable score on the UA Math Readiness Test.
		Grading: Regular grades are awarded for this course: A B C D E. May be repeated: an unlimited number of times, consult your department for details and possible restrictions.
		Description: An honors thesis is required of all the students graduating with honors.
	catalog.arizona.edu /2004-05/courses/044/MATH.html (11929 words)

	Iowa State University Courses and Programs
		Introduction to nonparametric problems; tests based upon sample distribution functions, rank tests for location, scale and independence; local properties of rank tests; convergence of a sequence of random variables; limit theorems; asymptotic distributions of sample quantiles, U-statistics, rank statistics, chi-square and other goodness of fit test statistics; asymptotic efficiency of tests.
		Advanced topics of current interest in design of surveys and analysis of survey data; unequal probability sampling with and without replacement; criteria for choice of survey strategies including sufficiency, likelihood, and admissibility; super population models and their role in choice of optimal strategies; review of recent literature.
		Distribution theory and moments of order statistics; estimation of location and scale parameters; censoring; robust estimation; treatment of outliers; asymptotic distributions of quantiles, extremes, and linear functions of order statistics.
	www.iastate.edu /~catalog/9597/stat.html (2429 words)

	What about people in regional science?
		Another application of location histories is in optimization of mobile phone networks, some of which allow consumers to keep track of “buddies.” Mobile phones operate by switching their connectivity from tower to tower as the phone moves between cells.
		For example, a scale representing ~3 m might be appropriate for extracting destinations corresponding to offices in a building, but a scale of ~100 m would be necessary for identifying whole buildings as destinations.
		Once the parameters are learned, this model can be used to solve problems such as finding the most likely destination occupied at a particular time, determining the relative likelihood of a location history sequence, or stochastically generating a location history sequence.
	research.microsoft.com /users/toyama/hariharan_toyama_GIScience2004.doc (5990 words)

	Mathematics, Courses Fall 2000
		The course is based on an electronic text, with extensive use of spreadsheets, downloaded data, and team reports on major business projects.
		Prerequisite courses taken at UA or must have an acceptable score on the MRT.
		The problems are designed to give the teachers an insight into problem solving as well as ideas to use in their own classrooms.
	catalog.arizona.edu /2000-01/courses/004/MATH.html (6839 words)

	Rudy A. Gideon - Math, U. of Montana
		The paper "Location and Scale Estimation with Correlation Coefficients" is used to develop a robust norm.
		Simulations show that with outliers distributed symmetrically, both Kendall,s Tau and GD operating on the original data and GD operating on the elementary slopes slopes of the bivariate data are robust in estimating the slope in simple linear regression.
		An example of the process using bivariate normal data with some contamination in the Y-variable along with a scatterplot of comparison of fits by least squares, GD, and GD operating on the elementary slopes
	www.math.umt.edu /gideon (2307 words)

	Resume : Tapan K. Nayak (Site not responding. Last check: 2007-10-11)
		An Analysis of Diversity Using Rao's Quadratic Entropy.
		Estimation of Location and Scale Parameters Using Generalized Pitman Nearness Criterion.
		On Equivariant Estimation of the Location of Elliptical Distributions Under Pitman Closeness Criterion.
	home.gwu.edu /~tapan/resume.html (789 words)

	An american dilemma ana gomes an die jugend anadaman islands
		An elegant rearrangement of a conditionally convergent iterated integral
		An Essay on the Inequality of the Human Races
		An Inquiry into the Nature and Causes of the Wealth of Nations
	www.find-ask.com /Enc/An.shtml (131 words)

	Earliest Known Uses of Some of the Words of Mathematics (E)
		The latent terminology was introduced by James Joseph Sylvester (1814-1897) in the 1883 paper "On the Equation to the Secular Inequalities in the Planetary Theory" Phil.
		He obtained an addition theorem for this integral and, therefore, demonstrated that the division of arcs of the lemniscate into n equal parts is an algebraic problem.
		It is essentially an arrangement of three circles, to represent the three terms of a syllogism, and, by their combination, the three propositions" [University of Michigan Digital Library].
	members.aol.com /jeff570/e.html (8426 words)

	Theory of Probability and its Applications
		A. Makarov The asymptotic behavior of the limit distribution of the Kolmogorov-Smirnov statistic in the case of a composite hypothesis for the class of projecting estimates of an unknown parameter.
		Braverman and V. Kruglov An inequality for absolute pseudomoments 718--722 V. Gurevich On an estimator for a parameter of a regression function without the condition of being unbiased.
		728--732 G. Salov An equation for the a posteriori probability of the existence of ``disorder'' in a sequence of dependent random variables, and the detection of the time of the appearance of ``disorder'' that is optimal in the sense of Shiryaev.
	www.math.utah.edu /pub/tex/bib/toc/theoryprobabappl.html (6383 words)

	Iowa State University Courses and Programs 1997-1999
		Obtaining, presenting, and organizing statistical data; measures of location and dispersion; probability concepts; the normal distribution; sampling and sampling distributions; estimation and confidence intervals; statistical process monitoring and applications in quality control; use of computers to analyze data; simple linear regression analysis; multiple regression analysis.
		Models for quantitative inheritance; partition of genotypic variance; covariances among relatives with random mating; experimental designs for evaluating parameters; phenotypic selection for quantitative traits; response to artificial selection.
		Sample spaces, events, probability, expectation, moments, inequalities, conditional probability, common distributions, moment generating and characteristic functions, elementary limit theorems, order statistics, sampling distributions, multivariate normal distribution.
	www.iastate.edu /~catalog/9799/stat.html (2318 words)

	LINEAR INEQUALITY GRAPH APPLET (Site not responding. Last check: 2007-10-11)
		Drag a slider scale to change the range of the scale while maintaining the scale length.
		Drag a location in a slider gutter towards or away from the thumb to change both the range of the scale and the scale length.
		Control-shift-drag in the graph area to see if the corresponding cursor location is on the graph by using verification.
	www.ronblond.com /M11/LinIne/index.html (265 words)

	[No title]
		Beg, R., Silvapulle, M.J., and Silvapulle, P. Tests against inequality constraints when some nuisance parameters are present only under the alternative.
		Silvapulle, M.J. Asymptotic behaviour of robust estimators of regression and scale parameters with fixed carriers.
		Heathcote, C.R. and Silvapulle, M.J. Minimum mean squared estimation of location and scale parameters under misspecification of the model.
	www.buseco.monash.edu.au /staff/profile.php?uid=mjsilva (404 words)

	Table of contents for Library of Congress control number 2003269325
		91 3.5 Convergence of distributions of randomly indexed sequences to identi- fiable location or scale mixtures.
		151 4.6 Exponential inequalities for the probabilities of large deviations of Pois- son random sums.
		384 11.6 Exponential inequalities for the probabilities of negative values of gen- eralized risk processes................386 12 Statistical inference concerning the parameters of risk processes 391 12.1 Statistical estimation of the ruin probability in classical risk processes 391 12.2 Specific features of statistical estimation of ruin probability for general- ized risk processes...............................
	www.loc.gov /catdir/toc/fy037/2003269325.html (992 words)

	Dr. P C Joshi, Professor, IIT Kanpur
		Joshi, P.C. Efficient estimation of the mean of an exponential distribution when an outlier is present, Technometrics, 14, 137-43.
		Rani, S. and Joshi, P.C. Estimation of scale parameter of a truncated exponential distribution in a single outlier case when truncation point is known, Aligarh Journal of Statistics, 21, 31-42.
		Joshi, P.C. Efficient estimation of the mean of an exponential distribution when an outlier is present.
	home.iitk.ac.in /~pcjos/publication.htm (1000 words)

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