Introduction to Probability Theory and Statistical Inference.

1970 ◽  
Vol 65 (330) ◽  
pp. 998
Author(s):  
M. M. Desu ◽  
Harold J. Larson
2021 ◽  
Vol 53 (6) ◽  
pp. 53-80
Author(s):  
Jeff Biddle

Statistical inference is the process of drawing conclusions from samples of statistical data about things not fully described or recorded in those samples. During the 1920s, economists in the United States articulated a general approach to statistical inference that downplayed the value of the inferential measures derived from probability theory that later came to be central to the idea of statistical inference in economics. This approach is illustrated by the practices of economists of the Bureau of Economic Analysis of the US Department of Agriculture, who regularly analyzed statistical samples to forecast supplies of various agricultural products. Forecasting represents an interesting case for studying the development of inferential methods, as analysts receive regular feedback on the effectiveness of their inferences when forecasts are compared with actual events.


Author(s):  
M. D. Edge

Statistics is concerned with using data to learn about the world. In this book, concepts for reasoning from data are developed using a combination of math and simulation. Using a running example, we will consider probability theory, statistical estimation, and statistical inference. Estimation and inference will be considered from three different perspectives.


1976 ◽  
Vol 44 (2) ◽  
pp. 308
Author(s):  
M. Iosifescu ◽  
H. J. Larson

1975 ◽  
Vol 138 (2) ◽  
pp. 259
Author(s):  
A. H. Seheult ◽  
Harold J. Larson

2006 ◽  
Vol 3 (1) ◽  
Author(s):  
Anton Cedilnik ◽  
Katarina Košmelj ◽  
Andrej Blejec

To enable correct statistical inference, the knowledge about the existence of moments is crucial. The objective of this paper is to study the existence of the moments for the ratio \(Z = X/Y\) , where \(X\) and \(Y\) are arbitrary random variables with the additional assumption \(P(Y = 0) = 0\). We present three existence theorems showing that specific behaviour of the distribution of \(Y\) in the neighbourhood of zero is essential. Simple consequences of these theorems give evidence to the existence of the moments for particular random variables; some of these results are well known from standard probability theory. However, we obtain them in a simple way.


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