German Tank Problem

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In the statistical theory of estimation, the German tank problem consists of estimating the maximum of a discrete uniform distribution from sampling without replacement. In simple terms, suppose there exists an unknown number of items which are sequentially numbered from 1 to N .
en.wikipedia.org/wiki/German_tank_problem
What was the German tank problem in World War 2?
What was the German tank problem in World War 2?
[ [AdMiddle] Let’s take a trip back in time and look at what’s known as the “German tank problem” from World War II. At that time, for fairly obvious reasons, allied forces wanted to know how many tanks the German military was producing.
www.quickanddirtytips.com/education/math…
How to calculate the population of German tanks?
How to calculate the population of German tanks?
German Tank Problem 1 German Tank Problem. The German Tank Problem is a way to estimate the total population size from a small sample. ... 2 Formula 3 Example. Example problem: You capture 5 enemy tanks with serial numbers 1, 31, 43, 79, and 115. ... 4 The History Behind the Problem. ... 5 Minimum Variance Unbiased Estimator. ...
www.statisticshowto.com/german-tank-pro…
Who is the author of the German tank problem?
Who is the author of the German tank problem?
The German Tank Problem: Math/Stats at War! Steven J. Miller: Carnegie Mellon and Williams College (sjm1@williams.edu, stevenm1@andrew.cmu.edu) http://www.williams.edu/Mathematics/sjmiller University of Connecticut Awards Dinner, April 26, 2019 1 Introduction Mathematical Preliminaries GTP: Original GTP: New Regression References Appendix
web.williams.edu/Mathematics/sjmiller/publi…
How many tanks were made per month in World War 2?
How many tanks were made per month in World War 2?
The statisticians used the above formula to estimate that 246 tanks were being made per month between June 1940 and September 1942; This was a significant reduction from intelligence estimates which put the number at about 1400.
www.statisticshowto.com/german-tank-pro…
https://en.m.wikipedia.org/wiki/German_tank_problem
Ориентировочное время чтения: 9 мин
In the statistical theory of estimation, the German tank problem consists of estimating the maximum of a discrete uniform distribution from sampling without replacement. In simple terms, suppose there exists an unknown number of items which are sequentially numbered from 1 to N. A random sample of these items is taken and their sequence numbers observed; the problem is to estimate N from these observed numbers.

The problem can be approached using either frequenti…
In the statistical theory of estimation, the German tank problem consists of estimating the maximum of a discrete uniform distribution from sampling without replacement. In simple terms, suppose there exists an unknown number of items which are sequentially numbered from 1 to N. A random sample of these items is taken and their sequence numbers observed; the problem is to estimate N from these observed numbers.

The problem can be approached using either frequentist inference or Bayesian inference, leading to different results. Estimating the population maximum based on a single sample yields divergent results, whereas estimation based on multiple samples is a practical estimation question whose answer is simple (especially in the frequentist setting) but not obvious (especially in the Bayesian setting).

The problem is named after its historical application by Allied forces in World War II to the estimation of the monthly rate of German tank production from very limited data. This exploited the manufacturing practice of assigning and attaching ascending sequences of serial numbers to tank components (chassis, gearbox, engine, wheels), with some of the tanks eventually being captured in battle by Allied forces.
https://web.williams.edu/Mathematics/sjmiller/public_html/math/talks/GermanTankProblem...
The German Tank Problem: Mathematical Formulation Original formulation: Tanks numbered from 1 to N, observe k, largest seen is m, estimate N with Nb=Nb(m,k). New version: Tanks numbered from N1 …
Задача о немецких танках — задача статистической теории оценивания по определению величины нумерованного дискретного набора элементов …
Дискретное равномерное распределение
Текст из Википедии, лицензия CC-BY-SA
https://www.statisticshowto.com/german-tank-problem
German Tank Problem
Formula
Example
The History Behind The Problem
Minimum Variance Unbiased Estimator
The German Tank Problem isa way to estimate the total population size from a small sample. It’s commonly used in AP statistics to teach about estimators. The problem was originally developed by the Allies during World War II, when it was used to estimate the total number of German tanks from a small number of serial numbers from captured, destroyed, or observed tanks. It was extended to estimate the number of factories and othe…
https://www.eadan.net/blog/german-tank-problem
26.06.2019 · The German Tank Problem June 26, 2019 The German tank problem recounts a fascinating story of how the Allies estimated German tank production numbers during World War II. Early in the war, the …
Math341 Fa2013 Lecture26part2: German Tank Problem, Generating Functions
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Math341 Fa2013 Lecture26part1: German Tank Problem, Generating Functions
stat88.org/textbook/notebooks/Chapter_11/02_German_Tank_Problem_Revisited.html
The German Tank Problem, Revisited. Earlier in the course we examined the German tank problem in which statisticians helped the Allies estimate the number of tanks the Germans were manufacturing in World War …
wikieducator.org/Point_estimation_-_German_tank_problem
The German Tank Problem, Part 1 Challenge: Develop and implement an estimator to determine the total number of tanks. Form Allied Statistician Units of size 2-4. From the population of German tanks (slips of paper in a container) capture 5 German tanks …
https://www.quickanddirtytips.com/.../math/how-statistics-solved-the-german-tank-problem
19.11.2010 · The German Tank Problem [[AdMiddle] Let’s take a trip back in time and look at what’s known as the “German tank problem” from World War II. At that time, for fairly obvious reasons, allied forces wanted to know how many tanks the German …
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