Top Tweets for #WaldSequentialTests
#KiraYangShadlen-1
[#Neuroscience
#WaldSequentialTests]
"Neuron 85, pp. 861-873 (February 2015)
A Neural Implementation of Wald’s #SequentialProbability Ratio Test
Shinichiro Kira
(University of Washington)
Tianming Yang
Michael N. Shadlen
M.t. Eine Implementierung des SPRT
>
![LGcommaI's tweet photo. #KiraYangShadlen-1
[#Neuroscience
#WaldSequentialTests]
"Neuron 85, pp. 861-873 (February 2015)
A Neural Implementation of Wald’s #SequentialProbability Ratio Test
Shinichiro Kira
(University of Washington)
Tianming Yang
Michael N. Shadlen
M.t. Eine Implementierung des SPRT
> https://t.co/nolaASbPZO](https://pbs.twimg.com/media/GNLDRRxWwAI_OJR.jpg)
#TartakovskyCompositeHypotheses-1
[#AppliedMathematics
#KulldorffDavisKolczakEtAl
#TartakovskySokolovBarShalom
#WaldSequentialTests]
Proceedings of the #Steklov Institute of #Mathematics 287, pp. 268–288 (2014)
Nearly Optimal Sequential Tests of Composite Hypotheses Revisited
>
![LGcommaI's tweet photo. #TartakovskyCompositeHypotheses-1
[#AppliedMathematics
#KulldorffDavisKolczakEtAl
#TartakovskySokolovBarShalom
#WaldSequentialTests]
Proceedings of the #Steklov Institute of #Mathematics 287, pp. 268–288 (2014)
Nearly Optimal Sequential Tests of Composite Hypotheses Revisited
> https://t.co/vdV7HqNbPF](https://pbs.twimg.com/media/FZuYepCWAAAaGHa.png)
#ArmitageMcPhersonRowe-1
[#Classics
#WaldSequentialTests]
Journal of the Royal Statistical Society: Series A, Vol. 132(2), pp. 235-244 (1969)
Repeated #SignificanceTests on Accumulating #Data
P. Armitage
C. K. McPherson
B. C. Rowe
M.t. 'Wiederholte #Signifikanztests
>
![LGcommaI's tweet photo. #ArmitageMcPhersonRowe-1
[#Classics
#WaldSequentialTests]
Journal of the Royal Statistical Society: Series A, Vol. 132(2), pp. 235-244 (1969)
Repeated #SignificanceTests on Accumulating #Data
P. Armitage
C. K. McPherson
B. C. Rowe
M.t. 'Wiederholte #Signifikanztests
> https://t.co/8g1sotS3MI](https://pbs.twimg.com/media/FZj65TwWQAAvEl9.png)
#WaldSequentialTests-104
The probability can readily be derived on the basis of the general theory of cumulative sums given in [https://t.co/RcDsHHMAS1].
Denote log 𝑓_1(𝑥_𝑖)/𝑓_0(𝑥_𝑖) by 𝑧_𝑖.
Then {𝑧_𝑖}(𝑖=2,...) is a sequence of independent random variables each having>
#WaldCumulativeSums-1
[#Classics
#HistoryOfMathematics
#Mathematics
#WaldSequentialTests]
"Annals of Mathematical #Statistics 15(3), 283–296 (September 1944)
On Cumulative Sums of Random Variables
#AbrahamWald[1902–1950]"
M.t. 'Über kumulative Summen von Zufallsvariablen'
![LGcommaI's tweet photo. #WaldCumulativeSums-1
[#Classics
#HistoryOfMathematics
#Mathematics
#WaldSequentialTests]
"Annals of Mathematical #Statistics 15(3), 283–296 (September 1944)
On Cumulative Sums of Random Variables
#AbrahamWald[1902–1950]"
M.t. 'Über kumulative Summen von Zufallsvariablen' https://t.co/H7RBrJrMDy](https://pbs.twimg.com/media/FVuq_UpWYAMF_wc.jpg)
#WaldCumulativeSums-1
[#Classics
#HistoryOfMathematics
#Mathematics
#WaldSequentialTests]
"Annals of Mathematical #Statistics 15(3), 283–296 (September 1944)
On Cumulative Sums of Random Variables
#AbrahamWald[1902–1950]"
M.t. 'Über kumulative Summen von Zufallsvariablen'
#KulldorffDavisKolczakEtAl-1
[#AppliedMathematics
#PramanikJohnsonBhattacharya
#WaldSequentialTests]
"Sequential Analysis 30, 58–78 (2011)
A Maximized #SequentialProbabilityRatioTest for Drug and #Vaccine[-]#Safety[-]#Surveillance
Martin Kulldorff (#Harvard Medical School)
>
![LGcommaI's tweet photo. #KulldorffDavisKolczakEtAl-1
[#AppliedMathematics
#PramanikJohnsonBhattacharya
#WaldSequentialTests]
"Sequential Analysis 30, 58–78 (2011)
A Maximized #SequentialProbabilityRatioTest for Drug and #Vaccine[-]#Safety[-]#Surveillance
Martin Kulldorff (#Harvard Medical School)
> https://t.co/zZVfOY5qK3](https://pbs.twimg.com/media/FSBFCHIXMAAK9Mc.png)
#WaldSequentialTests-100
"3.3. Determination of the values 𝐴 and 𝐵 in practice.
Suppose that we wish to have a sequential test such that the probability of an error of the first kind is equal to α and the probability of an error of the second kind is equal to β.
>
#EbiharaMiyagawaSakuraiImaokaFinalVersion-1.
[#New
#Preprints
#WaldSequentialTests]
"arXiv:2006.05587v3
Sequential Density Ratio Estimation for Simultaneous #Optimization of Speed and Accuracy
[title was CHANGED fom v2. LG,I]
Akinori F. Ebihara
(NEC Corporation, #Japan)
>
![LGcommaI's tweet photo. #EbiharaMiyagawaSakuraiImaokaFinalVersion-1.
[#New
#Preprints
#WaldSequentialTests]
"arXiv:2006.05587v3
Sequential Density Ratio Estimation for Simultaneous #Optimization of Speed and Accuracy
[title was CHANGED fom v2. LG,I]
Akinori F. Ebihara
(NEC Corporation, #Japan)
> https://t.co/C34XHwHKus](https://pbs.twimg.com/media/E4zkYnOXIAEM3La.png)
#KlassBestPossibleImprovement-1
[#Statistics
#WaldSequentialTests]
"Annals of #Probability 16(2), 840-853 (1988)
A best possible improvement of #Wald's equation
Michael J. Klass
University of #California/Berkeley"
M.t. 'Eine bestmögliche Verbesserung der Wald'schen Gleichung'
![LGcommaI's tweet photo. #KlassBestPossibleImprovement-1
[#Statistics
#WaldSequentialTests]
"Annals of #Probability 16(2), 840-853 (1988)
A best possible improvement of #Wald's equation
Michael J. Klass
University of #California/Berkeley"
M.t. 'Eine bestmögliche Verbesserung der Wald'schen Gleichung' https://t.co/Bee0ay0i90](https://pbs.twimg.com/media/E4wnMq8XMAAyBlZ.png)
#WaldSequentialTests-18
"Another #surprising feature of the sequential probability ratio test is that the test can be carried out without determining any probability distributions whatsoever."
M.t. 'Ein anderes überraschendes Merkmal sequenzieller Plausibilitätsquotiententests>
#EbiharaMiyagawaSakuraiImaoka-1.
[#Mathematics
#newPreprints
#Statistics
#WaldSequentialTests]
"arXiv:2006.05587v2
Deep #NeuralNetworks for the Sequential Probability Ratio #Test on non-i.i.d. #data series
Akinori F. Ebihara
Taiki Miyagawa
Kazuyuki Sakurai
Hitoshi Imaoka"
>
![LGcommaI's tweet photo. #EbiharaMiyagawaSakuraiImaoka-1.
[#Mathematics
#newPreprints
#Statistics
#WaldSequentialTests]
"arXiv:2006.05587v2
Deep #NeuralNetworks for the Sequential Probability Ratio #Test on non-i.i.d. #data series
Akinori F. Ebihara
Taiki Miyagawa
Kazuyuki Sakurai
Hitoshi Imaoka"
> https://t.co/1lU1Dayx54](https://pbs.twimg.com/media/EtOvxn_XIAAeptP.png)
#WaldSequentialTests-82.
"Then the following sequential process seems reasonable: At each stage calculate 𝑔_{0,𝑚} and 𝑔_{1,𝑚}.
If 𝑔_{1,𝑚} ⩾ 𝑑₁,
accept 𝐻₁.
If 𝑔_{0,𝑚} ⩾ 𝑑₀,
accept 𝐻₀.
If 𝑔_{1,𝑚} < 𝑑₁,and 𝑔_{0,𝑚} < 𝑑₀,
draw an additional observation.
>
#WaldSequentialTests-81.
"As an abbreviation for 𝑝_{𝑖,𝑚}(𝑥_1,...,𝑥_𝑚) we shall use simply 𝑝_{𝑖,𝑚}[;] [let] 𝑑₀ and 𝑑₁ be two positive numbers less than 1 and greater than ½[;] [suppose that we want to construct a #SequentialTest such that the conditional
probability
>
#WaldSequentialTests-68.
"If a sequential test S𝑆satisfies both inequalities
𝐸₀(𝑛|𝑆)⩽𝐸₀(𝑛I𝑆′)
and
𝐸₁(𝑛I𝑆)⩽𝐸₁(𝑛I𝑆′),
for any sequential test 𝑆' of strength equal to that of 𝑆, then the test 𝑆 can be considered to be a best sequential test[;] that such
>
#WaldSequentialTests-56.
"Thus, the current most powerful test procedure for testing 𝐻₀ against 𝐻₁ can be briefly stated as follows:
We choose as critical region the region defined by (1.1) where the constant 𝑘 is determined so that the probability of an error of the first>
#WaldSequentialTests-52.
"Part I. Sequential Test of a Simple Hypothesis Against a Single Alternative
1. The Current Test Procedure
Let 𝑋 be a random variable[;] [in] what follows in this and the subsequent sections it will be assumed that the random variable 𝑋 has either a
>
#WaldSequentialTests-42.
"More specifically, Friedman and Wallis conjectured that a
sequential test may exist that controls the #errors of the first and second kinds to exactly the same extent as the current most powerful test, and at the same time requires an expected number of>
#WaldSequentialTests-30.
"For the benefit of readers who lack a sufficient background in the mathematical theory of statistics the exposition in sections 5.2, 5.3 and 5.4 is kept on a fairly elementary level."
M.t. 'Zugunsten jener Leser, denen es an einem ausreichenden
>
#DiepgenSequentiellesTesten-1.
[#Expositions
#Science
#ScientificMethod
#Statistics
#WaldSequentialTests-background]
"Sequentielles Testen
by
Raphael Diepgen
pp. 137-144 in:
Erdfelder, Edgar (eds.): Handbuch Quantitative Methoden BELTZ 1998"
M.t. 'Sequential #Testing'
![LGcommaI's tweet photo. #DiepgenSequentiellesTesten-1.
[#Expositions
#Science
#ScientificMethod
#Statistics
#WaldSequentialTests-background]
"Sequentielles Testen
by
Raphael Diepgen
pp. 137-144 in:
Erdfelder, Edgar (eds.): Handbuch Quantitative Methoden BELTZ 1998"
M.t. 'Sequential #Testing' https://t.co/1rfNBx7ORB](https://pbs.twimg.com/media/EmVaKhxWMAMbUO7.jpg)
#WaldSequentialTests-16.
"The #SequentialProbabilityRatioTest in general requires an expected number of observations considerably smaller than the fixed number of observations needed by the current most powerful test which controls the #errors of the first and second kinds
>
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