By Gilles Lacombe

Ce recueil de 218 exercices et problèmes corrigés permet de se familiariser avec l'essentiel des notions développées dans ce cours. Les strategies sont rédigées en se référant, dès que attainable, à un théorème, un exemple, une proposition, un corollaire ou un lemme. Au sommaire: Espace des fonctions keeps sur un compact, Mesures de Radon, Espaces de Hilbert, Espaces L, Spectre, Opérateurs compacts, Distributions: définitions, exemples, Distributions: multiplication, dérivation, Convolution des distributions, Laplacien sur un ouvert.

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This feature permitted the development of a variance estimation program which is an adjunct to the general computer tabulation program. Every data table comes out of the computer with a tab~e of desired estimates of aggregates, means, or dis- Table 1. Composition of the 16 balanced half-sample replicates-certainty Balanced half-sample — — — — — . — — 1 2 — — 1 1 ------- 2 ------. . . . ------------;---------------------------------- 3 5 -------6 -------- --------------- 4 7 -------8 -------- .

I and II. New York. 2-206, 1964. Cochran, W’. 63. : Cn samrles porulatimr~. S. ; ,/,. H. Wwiies of Svrwy data. Instituto Rome, ~~olume in onora di Corrado Cini. , and Tukej, J. : iverrige values of mean squares in factorials. inn. math. Statisl. S7:907-949, 1956. Iowa. Statistical and Technology. Deming, W. : Swne Throry of ~ampling. Km Niley and ,%n,s. , 1950. Jones, H. 73):54-S3, Mar. 1956. V. : Sample Design in r{usiness York. , 196(?. leming, use Of W. : py]icaterj tJn the correction design: =..

The total sampling included some 7,700 persons in 29 different States. All examination findings for sample persons are included in tabulations as weighted frequencies, the weight being a product of the reciprocal of the probability of selecting the individual, an adjustment for nonresponse cases, a stratified ratio adjustment of the first-stage sample to 1960 Census population controls within 6 region-density classes, and a poststratified ratio adjustment at the national level to independent population controls for the midsurvey period (October 1961) within 12 age-sex classes.

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