1936/12/01 by E. J. G. Pitman · 4 citations
Computer Science · Decision Sciences · Mathematics · #Advanced Statistical Methods and Models #Advanced Statistical Process Monitoring #Distributed Sensor Networks and Detection Algorithms #Function (biology) #Location parameter #Mathematics #Physics #Population #Probability distribution #Range (aeronautics) #Sample (material) #Statistic #Statistics #Sufficient statistic
paper · doi:10.1017/s0305004100019307
openalex publication_date 1936/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21
It is proved that if there exists a sufficient statistic for the estimation of an unknown parameter of a population, the frequency function of the population must be of a certain type. It is shown that some modification of previous theory of the intrinsic accuracy of statistics is necessary when the range of the population sampled is a function of the parameter to be estimated. Finally, the theory is extended to sufficient sets of statistics, i.e. sets of statistics which together contain all the information provided by a sample about an unknown parameter.