Sequential analysis von wald abraham (19 Ergebnisse)

Paperback. Zustand: Good. In 1943, while in charge of Columbia University's Statistical Research Group, Abraham Wald devised Sequential Design, an innovative statistical inference system. Because the decision to terminate an experiment is not predetermined, sequential analysis can arrive at a decision much sooner and with substantially fewer observations than equally reliable test procedures based on a predetermined number of observations. The system's immense value was immediately recognized, and its use was restricted to wartime research and procedures. In 1945, it was released to the public and has since revolutionized many aspects of statistical practice. This book is Professor Wald's own description of the system. Part I contains a discussion of the general theory of the sequential probability ratio test, with comparisons to traditional statistical inference systems. Part II discusses applications that illustrate the general theory and raise points of theoretical interest specific to these applications. Part III outlines a possible approach to the problem of sequential multi-valued decisions and estimation. All three sections can be understood by readers with only a background in college algebra and a first course in calculus. Mathematical derivations of somewhat intricate nature appear in the appendix. Sequential Analysis offers statistical researchers a time- and money-saving approach, introduces students to one of the major systems in contemporary use, and presents those already acquainted with the system with valuable background information.…

Paperback. Zustand: Very Good. It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting.

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Paperback. Zustand: Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less.

Paperback. Zustand: Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less.

Zustand: Good. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good.

Zustand: Good. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good.

Hardcover. Zustand: Good. No Jacket. Missing dust jacket; Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less.

Hardcover. Zustand: Good. No Jacket. Former library book; Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less.

Zustand: Good. Good condition. No Dust Jacket (Sequential Analysis, Mathematical Computing, Mathematical Statistics) A copy that has been read but remains intact. May contain markings such as bookplates, stamps, limited notes and highlighting, or a few light stains.

Paperback. Zustand: Brand New. 224 pages. 8.25x5.25x0.25 inches. In Stock.

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Paperback. Zustand: Good. No Jacket. Former library book; Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less.

Couverture rigide. Zustand: bon. R240095947: 1966. In-8. Relié. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. XII + 212 pages - ouvrage en anglais - quelques figures en noir et blanc dans le texte. . . . Classification Dewey : 420-Langue anglaise. Anglo-saxon.

First edition of a revolutionary work in mathematics and decision theory. Uncommon in the dust jacket. Abraham Wald (1902-1950), a pioneer in the field of operations research, earned his PhD in mathematics at the University of Virginia. He emigrated to the US after the annexation of Austria and worked in econometrics, joining the Columbia faculty in 1941. Wald studied wartime statistics problems as a member of the Statistical Research Group, making the now-famous, counterintuitive determination that it was the damaged parts of military aircraft which returned safely that did not need extra shielding. Wald is considered the founder of the field of sequential analysis, in which sample sizes in statistical analysis are not pre-determined, but data is analyzed as it is collected, lowering the time and financial costs of research. He focused on sequential analysis as a tool for industrial quality control, but it has found uses in many other fields, most notably pharmaceutical clinical trials. First edition; 8vo; diagrams within the text, note in blue ink on front free endpaper, contents faintly toned in the margins; original blue cloth, titles to spine and upper board gilt, minor horizontal production flaw to the cloth, lightly rubbed along the edges, a very good copy in the rubbed and partially toned jacket with a few small chips; 212pp.…

New York, John Wiley & Sons, (1947). Original cloth with gilt spine. No dust jacket. XII,212 pp. Text illustrated. First edition. Wald is considered the founder of statistical sequential analysis and the theory of decision functions. DSB XIV:121.

First edition. THE INVENTION OF SEQUENTIAL ANALYSIS - THE ORIGINAL RESTRICTED REPORTS. First edition, very rare, of Wald's seminal invention of 'Sequential analysis', developed while he was in charge of Columbia University's Statistical Research Group in response to the demand for more efficient methods of industrial quality control during World War II. It is here offered in the original 'restricted' reports; it was published four years later in his well-known book of the same title. "Wald's second major achievement in mathematical statistics is sequential analysis. The notion that in some sense it is economical to observe and analyze data sequentially, rather than to observe and analyze a single sample of predetermined fixed size, was not a new one. Intuitive support for this notion is immediate; if the evidence shown in sequentially unfolding data is sharply one-sided, it seems reasonable to believe that the inquiry can be terminated early, with lengthier inquiries reserved for those situations in which the issue at hand appears, via the sequentially unfolding data, to be in greater doubt. This notion and the partial mathematical formulation of it were to be found in the statistical literature; among those who dealt with it before Wald was Walter Bartky of Chicago, and among Wald's contemporaries, George Barnard, working in England. But again it was Wald, in 1943, who first formulated mathematically and solved quite generally the problem of sequential tests of statistical hypotheses. He introduced the particular method of the sequential probability ratio test and, with Wolfowitz (1948), showed its optimal properties. He found operating characteristic and average sample number functions; he introduced, if he did not completely solve, the problem of sequential tests of composite hypotheses (utilizing weight functions); and he began vital discussions of such basic topics as multivalued decisions and optimal sequential estimation. All this, plus many special problems, were gathered together in Sequential Analysis (1947), a book surprisingly easy to read, less formal and more elementary in structure than his work on decision functions" (DSB). No copies listed on ABPC/RBH. "Sequential analysis is the branch of statistics concerned with investigations in which the decision whether or not to stop at any stage depends on the observations previously made. The motivation for most sequential investigations is that when the ends achieved are measured against the costs incurred (including the cost of making observations), sequential designs are typically more efficient than non-sequential designs . "The term 'sequential' is occasionally extended to cover also investigations in which various aspects of the design may be changed according to the observations made. For example, preliminary experience in an experiment may suggest changes in the treatments being compared; in a social survey a small pilot survey may lead to modifications in the design of the main investigation . In a sequential investigation observations must be examined either one by one as they are collected or at certain stages during collection. A sequential procedure might be desirable for various reasons. The investigator might wish to have an up-to-date record at any stage, either for general information or because the appropriate sample size depends on quantities that he can estimate only from the data themselves. Alternatively, he may have no intrinsic interest in the intermediate results but may be able to achieve economy in sample size by taking them into account. Three examples will illustrate these points: (1) An investigator may wish to estimate to within 10 per cent the mean weekly expenditure on tobacco per household. In order to determine the sample size he would need an estimate of the variability of the expenditure from household to household, and this might be obtainable only from the survey itself. (2) A physician wishing to compare the effects of two drugs in the treatment of some disease may wish to stop the investigation if at some stage a convincing difference can already be demonstrated using the available data. (3) A manufacturer carrying out inspection of batches of some product may be able to pass most of his batches with little inspection but may carryout further inspection of batches of doubtful quality. A given degree of discrimination between good and bad batches could be achieved in various ways, but a sequential scheme will often be more economical than one in which a sample of constant size is taken from each batch "The most appropriate design and method of analysis of a sequential investigation depend on the purpose of the investigation. The statistical formulation of that purpose may take one of a number of forms, usually either estimation of some quantity to a given degree of precision or testing a hypothesis with given size and given power against a given alternative hypothesis. Economy in number of observations is typically important for sequential design" (International Encyclopedia of the Social Sciences). "The problem of sequential analysis arose in the Statistical Research Group of Columbia University in connection with some comments made by Captain G. L. Schuyler of the Bureau of Ordnance, Navy Department. Milton Friedman and W. Allen Wallis recognized the great potentialities and the far-reaching consequences that sequential analysis might have for the further development of theoretical statistics. In particular, they conjectured that a sequential test procedure might be constructed which would control the possible errors committed by wrong decisions exactly to the same extent as the best current procedure based on a predetermined number of observations, and at the same time would require, on the average, a substantially smaller number of observations than the fixed number of observations needed for the current procedure. Friedman and Wallis also exhibited a few examples of sequential modifications of curre.…