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The fascinating world of canonical moments a unique look at this practical, powerful statistical and probability tool Unusual in its emphasis, this landmark monograph on canonical moments describes the theory and application of canonical moments of probability measures on intervals of the real line and measures on the circle. Stemming from the discovery that canonical moments appear to be more intrinsically related to the measure than ordinary moments, the book's main focus is the broad application of canonical moments in many areas of statistics, probability, and analysis, including problems in the design of experiments, simple random walks or birth and death chains, and in approximation theory. The book begins with an explanation of the development of the theory of canonical moments for measures on intervals [a, b] and then describes the various practical applications of canonical moments. The book's topical range includes: Definition of canonical moments both geometrically and as ratios of Hankel determinants Orthogonal polynomials viewed geometrically as hyperplanes to moment spaces Continued fractions and their link between ordinary moments and canonical moments The determination of optimal designs for polynomial regression The relationships between canonical moments, random walks, and orthogonal polynomials Canonical moments for the circle or trigonometric functions Finally, this volume clearly illustrates the powerful mathematical role of canonical moments in a chapter arrangement that is as logical and interdependent as is the relationship of canonical moments to statistics, probability, and analysis.

F.F. Bruce examines the historical evidence for acceptance of the canon and addresses several central issues: the criteria of canonicity, the idea of a canon within the canon, and canonical criticism.

Canon FD 35-70 mm AF lens - The Canon FD 35-70mm AF lens of 1981 was Canon's first attempt at adding autofocus capability to their range of single-lens reflex cameras. Canon took their existing, successful Canon FD 35-70mm f/4 lens and added a box above the lens containing a self-contained autofocus mechanism, Canon's SST (Solid State Triangulation) system, as used in the AF35ML compact camera earlier that year.

Canon TX - The Canon TX was a 35mm single-lens reflex camera manufactured by Canon of Japan from September 1974. It featured a Canon FD lens mount, and was also compatible with Canon's earlier FL-mount lenses in stop-down metering mode.

Canon F-1 - The Canon F-1 was a 35mm single-lens reflex camera produced by Canon of Japan from March 1971 until 1976's introduction of the mildly updated F-1n, while in 1981 a New F-1 was launched. The new Canon FD lens mount was introduced along with the F-1, but the previous Canon FL-mount lenses were also compatible, although without open-aperture metering.

Canon T50 - The Canon T50, introduced in March 1983 and discontinued in December 1989, was the first in Canon's new T series of 35mm single-lens reflex cameras compatible with Canon's FD lens mount. SLR sales were falling in 1983 from the market's 1981 peak, and Canon chose to try greater automation to revive sales and remain competitive.

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