What question did this study set out to answer?

Develop computationally rapid and inexpensive statistical techniques using functions of order statistics to estimate distribution parameters from large datasets.

December 1, 1946The Annals of Mathematical StatisticsOpen Access

On Some Useful "Inefficient" Statistics

View Full Paper

Ask AI

Bookmark

Authors

FMFrederick MostellerBoston University

Discussion

Member takes

Implication

Methodological study demonstrates rapid estimation of normal distribution parameters using order statistics on punched-card sorters, suggesting substantial computational savings for massive datasets.

Key Points

Develop computationally rapid and inexpensive statistical techniques using functions of order statistics to estimate distribution parameters from large datasets.
Evaluated functions of order statistics (termed systematic statistics) for large samples drawn from normally distributed populations.
Derived asymptotic joint multivariate normal distributions for selected order statistics.
Formulated rapid estimation algorithms requiring basic counting and sorting operations on punched-card equipment without computing sums of squares or cross-products.
Established rapid estimators for the mean using 1 to 10 suitably selected order statistics with quantified relative efficiencies.
Formulated standard deviation estimators based on 2, 4, or 8 order statistics and a correlation coefficient estimator using three sorting and counting operations.
Demonstrated that these systematic statistics provide practical, high-efficiency approximations compared to traditional computationally intensive procedures.

Cite This Study

Frederick Mosteller (1946) studied this question.

synapsesocial.com/papers/6a0ef127a14f152feafa0dcc https://doi.org/10.1214/aoms/1177730881

View Full Paper

Ask AI

Bookmark

Implication

Methodological study demonstrates rapid estimation of normal distribution parameters using order statistics on punched-card sorters, suggesting substantial computational savings for massive datasets.

On Some Useful "Inefficient" Statistics

Discussion

Member takes

Implication

Key Points

Cite This Study

On Some Useful "Inefficient" Statistics

Discussion

Member takes

Implication

Key Points

Cite This Study

Also Consider

Also Consider