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Mathematical Statistics (2,118 Books)


Mathematical statistics is the study of statistics from a mathematical standpoint, using probability theory as well as other branches of mathematics such as linear algebra and analysis. The term "mathematical statistics" is closely related to the term "statistical theory" but also embraces modelling for actuarial science and non-statistical probability theory, particularly in Scandinavia.

 
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Service Annual Survey: 2003

By: Theodore W. Kassinger

Statistical Reference Document

Introduction: The U.S. Census Bureau conducts the Service Annual Survey (SAS) to provide national estimates of annual revenue and expenses, by kind of business and tax status, for selected service industries. (See the Coverage section below for more information on the industries included in the 2003 Service Annual Survey.) We develop the estimates in this report using data from mailed survey questionnaires and administrative data from other federal agencies. The survey q...

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E-Stats Statistical Methodology-Arts

By: U.S. Census Bureau Department

Statistical Reference Document

Introduction: The U.S. Census Bureau produces the E-Stats report to provide national estimates of ecommerce activity by kind of business for establishments engaged in manufacturing, merchant wholesale trade, retail trade, and selected service industries. We develop the retail trade, accommodation, and food services estimates in this report using data from the Annual Retail Trade Survey (ARTS) and administrative records. ARTS questionnaires are mailed to a probability sam...

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Hispanics in a Racially and Ethnically Mixed Neighborhood in the G...

By: Karen Bracken

Statistical Reference Document

Introduction: This is the final report on a study of causes of census undercount of Hispanics in a racially and ethnically mixed neighborhood conducted under the auspices of Hispanidad, Inc.1 in a Joint Statistical Agreement with the U.S. Bureau of the Census. The locus of the research was in Kenner, Louisiana, a city which forms part of the Standard Metropolitan Area of New Orleans. Kenner was selected because of the relatively high concentration of Hispanic population,...

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Response Errors in Repeated Surveys with Duplicated Observations

By: Tin Chiu Chua

Statistical Reference Document

Excerpt: The analysis of response error models for categorical data that form an r x r contingency table is considered. Individuals are placed in the row and column classes on the basis of two interviews. It is assumed that the errors in the row and in the column classifications are I independent. It la also assumed that the error in the classification of an Individual depends only on the individual?s true class. A parametric model for the probability that an individual ...

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An Investigation of Some Estimators of Variance for Systematic Sam...

By: Kirk M. Wolter

Statistical Reference Document

Introduction: The method of systematic sampling, first studied by the Madows (1944), is used widely in surveys of finite populations. When properly applied, the method picks up any obvious or hidden stratification in the population, and thus can be more precise than random sampling. In addition, systematic sampling is implemented easily, thus reducing costs. Since a systematic sample can be regarded as a random selection of one cluster, however, it is not possible to giv...

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Large Observation Study for the 1982 Census of Construction Industries

By: Lawrence R. Ernst

Statistical Reference Document

Executive Summary: This study was carried out for the 1982 Census of Construction Industries. That census did not elicit responses from all establishments in the universe, but instead, from a sample selected with probability proportional to 1981 administrative payroll. Consequently, it was subject to sampling variability. Noncertainty establishments which grew considerably from 1981 to 1982, the so-called ?large growth? cases, would have had an undesirably large impact o...

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Administrative Data Study for the 1982 Economic Censuses : Part Ii

By: Robert T. O'Reagan

Statistical Reference Document

Executive Summary: The Study of Administrative Data was designed to examine the differences between reported 1982 Economic Census data and administrative record data for economic censuses tabulations. A report by Burns (1986) treats that comparison in a wider context; the part of the study covered in this document deals only with examination of photocopies of Census questionnaires and photocopies of the associated administrative records (Forms 941, 104OC, 1065, 1120, 112...

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Simultaneous Selection of Primary Sampling Units for Two Designs

By: Lawrence R. Ernst

Statistical Reference Document

Introduction: Consider the following sampling problem. Primary sampling units (PSUs) are to be selected for two designs, denoted as D, and D,, both of which are one-PSU-per-stratum designs. The selection of sample PSUs for each design is to be with probability proportional to a measure of size which need not be the same for the two designs. The universe of PSUs is the same for both designs, but each is stratified independently. The sample PSUs in D, are required to be a ...

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Modification of the Reduced-Size Transportation Problem for Maximi...

By: Lawrence R. Ernst

Statistical Reference Document

Introduction: A maximum overlap method for ... The first modifiiion is a procedure for establishing a one-to-one correspondence between the PSUs in the initial and final designs when PSU definitions arc different in the two designs. The maximum overlap algorithm includes an ordering procedure for PSUs and pairs of PSUs that requires setting up a one-to-one correspondence between the initial and final PSUs. This correspondence can include dummy PSUs (artificial PSUs that ...

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Strata Boundary Determination

By: William E. Winkler

Statistical Reference Document

Introduction: This paper describes a strategy for strata boundary determination that generalizes the classical approach of Dalenius and Hodges. Given a fixed sample size and a fixed number of strata, the Dalenius-Hodges method provides a quick means of determining strata boundaries that approximately minimizes coefficients of variation (cv). Applying their method requires assuming that the finite population correction (fpc) can be ignored, that the underlying population ...

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2. How Vplx Works

By: U.S. Census Bureau Department

Statistical Reference Document

Excerpt: 2.1 Introduction This chapter provides an overview of how VPLX uses replication to estimate variances for complex samples. The primary purpose of the chapter is to introduce each of the major replication methods offered by VPLX. Each method will be applied to a simple example problem. Chapter 12 discusses the available variants of each replication method in greater detail. The discussion in this chapter will generally be limited to variance estimation for sampli...

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Response Errors in Repeated Surveys with Duplicated Observations

By: Tin Chiu Chua

Statistical Reference Document

Excerpt: The analysis of response error models for categorical data that form an r x r contingency table is considered. Individuals are placed in the row and column classes on the basis of two interviews. It is assumed that the errors in the row and in the column classifications are i independent. It la also assumed that the error in the classification of an Individual depends only on the individual?s true class. A parametric model for the probability that an individual ...

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Large Observation Study for the 1982 Census of Constructioni Ndustries

By: Lawrence R. Ernst

Statistical Reference Document

Excerpt: This study was carried out for the 1982 Census of construction Industries. That census did not elicit responses from all establishments in the universe, but instead, from a sample selected with probability proportional to 1981 administrative payroll. Consequently, it was subject to sampling variability. Noncertainty establishments which grew considerably from 1981 to 1982, the so-called ?large growth? cases, would have had an undesirably large impact on this var...

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Response to Domestic Violence in a Pro-Active Court Setting Final ...

By: Eve Buzawa

Government Reference Publication

Excerpt: This phenomenon is even more pronounced among offenders whose behavior is patterned over time. Fagan, et. al. (1984) reported that when there is a lengthy history of prior calls, stronger - legal intervention may be needed. Among violent offenders whose behaviors are increasing in frequency, the threat of sanctions may be remote and irrelevant under conditions of arousal and cognitive distortion (Fagan, 1996). Goldkamp (1996) reported from research in Dade Count...

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Adult Male Arrestees

By: John Ashcroft

Government Reference Publication

Excerpt: The Arrestee Drug Abuse Monitoring (ADAM) program measures the extent of drug use in the high-risk population of people who have been arrested. This preliminary report presents the first highly reliable, probability-based findings from the ADAM program. These new findings will be useful to policymakers and practitioners who are shaping their drug policies to meet local needs. Of the 38 sites that participate in the ADAM program, data about male arrestees were av...

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Illicit Drugs : Price Elasticity of Demand

By: Ma Cambridge

Government Reference Publication

Excerpt: Drug Enforcement Administration data sources: the System to Retrieve Information from Drug Evidence and the Domestic Monitor Program. Data about the initiation and continuation of drug use come from multiple administrations of the National Household Survey on Drug Abuse, mostly from the years 1988 through 1996. Data about drug use by hardcore users come from multiple administrations of the Drug Use Forecasting data, mostly from 1989 through 1998. We used a survi...

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Drug Use and Related Matters Among Adult Arrestees, 2001

By: Government Printing Office

Government Reference Publication

Excerpt: The Arrestee Drug Abuse Monitoring program (ADAM) measures the extent of drug use in the high-risk population of people who have been arrested and booked. The data are collected in participating counties through probability-based sampling of adult male arrestees and purposive sampling of adult female arrestees. Information comes from interviews and urinalyses obtained voluntarily and recorded confidentially in booking facilities, usually on the day of arrest and...

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Preliminary Data on Drug Use and Related Matters Among Adult Arres...

By: Government Printing Office

Government Reference Publication

Excerpt: The Arrestee Drug Abuse Monitoring program (ADAM) measures the extent of drug use in the high-risk population of people who have been arrested and booked or detained. The data are collected in participating counties through probability-based sampling of male arrestees in adult booking facilities and purposive sampling of female arrestees and juvenile detainees. Information comes from interviews and urinalyses obtained voluntarily and recorded confidentially in b...

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Methodology, Measurement, And Statistics

By: Government Printing Office

Government Reference Publication

Excerpt: The Methodology, Measurement, and Statistics (MMS) Program is an interdisciplinary program that supports the development of innovative methods and models for the social and behavioral sciences. The MMS Program interacts with the other programs in the Directorate for Social, Behavioral, and Economic Sciences (SBE), as well as other programs in the Foundation, most notably the Statistics and Probability Program in the Directorate for Mathematical and Physical Scie...

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Office of National Drug Control Policy Pulse Check National Trends...

By: Government Printing Office

Government Reference Publication

Excerpt: This report is based on the latest round of contacts and interviews with information sources, contacts occurring during the months of August and September of 1995. These contacts were made by Abt Associates staff members under the direction of Dr. Dana Hunt for the Office of National Drug Control Policy as part of the continuing monitoring and information series known as the “ Pulse Check.” Pulse Check information provides a subjective picture of drug use in thi...

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