X-Outline of a Theory of Statistical Estimation Based on the Classical Theory of Probability
نویسنده
چکیده
CONTENTS Page I-INTRODUCTORY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 333 (a) General Remarks, Notation, and Definitions . . . . . . . . . . . . . . . 333 ( 6 ) Review of the Solutions of the Problem of Estimation Advanced Hereto . . . 343 ( c ) Estimation by Unique Estimate and by Interval . . . . . . . . . . . . . 346 11-CONFIDENCE INTERVALS . . . . . . . . . . . . . . . . . . . . . . . . . . . 347 (a) Statement of the Problem . . . . . . . . . . . . . . . . . . . . . . . 347 ( b ) Solution of the Problem of Confidence Intervals . . . . . . . . . . . . . . 350 (6) Example I . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 356 (d) Example I1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 362 (e) Family of Similar Regions Based on a Sufficient System of Statistics . . . . . 361 (f) Example IIa . . . . . . . . . . . . . . . . . . . . . . . . . . . . 367 111-ACCURACYOF CONFIDENCE INTERVAL . . . . . . . . . . . . . . . . . . . . . S 370 (a) Shortest Systems of Confidence Intervals . . . . . . . . . . . . . . . . . 370 ( b ) One-sided Estimation . . . . . . . . . . . . . . . . . . . . . . . . . 374 ( c ) Example I11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 376 (d) Short Unbiassed Systems of Confidence Intervals, . . . . . . . . . . . . . 377 IV-SUMMARY. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 378 V-REFERENCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 380
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