ABRAHAM WALD AND STATISTICAL RESEARCH ON AIRCRAFT ARMOR

被引:0
作者
Tomov, Latchezar P. [1 ]
Doychinov, Georgi [2 ]
机构
[1] New Bulgarian Univ, 21 Montevideo Blvd, Sofia 1618, Bulgaria
[2] Natl Sch Ancient Languages & Cultures St Constant, 16 Baba St, Sofia, Bulgaria
来源
MATHEMATICS AND INFORMATICS | 2020年 / 63卷 / 05期
关键词
history; Wald; heuristics; statistics; probability; epistemology;
D O I
暂无
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
This work investigates the actual and the legendary scientific research of Abraham Wald on the survival probabilities of planes with different number of hits from enemy fire. We give new explanation to the deduction of his basic equation. We explain his basic assumptions and their role in the process of derivation, which we display in more detail. We investigate the role of intuition in this statistical study and how ignoring it allows to formulate assumptions and derive equation about missing data, which is unknowable in the strict sense of the term. We discuss the roles of estimations for unknowable or unobservable variables and highlight the methodology of sequential relaxations of estimations for recursive approximation of real-world data by successive theoretical models.
引用
收藏
页码:538 / 550
页数:13
相关论文
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MANGEL, M ;
SAMANIEGO, FJ .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1984, 79 (386) :259-267
[4]  
Taleb N. N., 2020, Statistical consequences of fat tails
[5]  
Taleb NN., 2005, FOOLED RANDOMNESS HI
[6]  
Tomov L., 2019, ISTORIYA MATEMATIKAT, P183