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31 questions with no upvoted or accepted answers
15 votes
0 answers
469 views

Penalized spline confidence intervals based on cluster-sandwich VCV

This is my first post here, but I've benefited a lot from this forum's results popping up in google search results. I've been teaching myself semi-parametric regression using penalized splines. ...
generic_user's user avatar
  • 13.5k
12 votes
0 answers
1k views

Computing a bootstrap confidence interval for the prediction error with the percentile and the BCa method

I have two related questions regarding the computation of a non-parametric bootstrap confidence interval for the prediction error. Setting: I have a sample S from a data population P and a learner L, ...
Gitte's user avatar
  • 825
3 votes
0 answers
1k views

How to pool the interquartile range for an arbitrary distribution?

Let's say that I want to estimate the temperature in an annulus-like region. I split the annulus into four equal sectors (sectors 1,2,3, and 4) with $n_i$ being the number of measurements in sector $i$...
Fixed Point's user avatar
3 votes
0 answers
2k views

How to calculate confidence intervals using subsampling after a nonparametric estimator about the empirical distribution function?

I have a problem where I think subsampling is more appropriate than the bootstrap. (Reason in another post.) However, I found no quick reference on subsampling CIs, and my naive inversion of the ...
László's user avatar
  • 987
3 votes
0 answers
266 views

How do you think about the central estimate when the confidence interval is asymmetric?

I'm using a wild bootstrap to create confidence intervals around fitted values of the following model, for a specific combination of the factors, as x varies across its range. ...
generic_user's user avatar
  • 13.5k
2 votes
1 answer
1k views

Confidence intervals for non-parametric statistics

I have a positive random variable $X$ (say, price or latency or energy) and I want to be able to say something like I am 95% confident that $P(X<42)>0.9$ (percentile) or $P(X<22)\ge\frac12$ (...
sds's user avatar
  • 2,246
2 votes
0 answers
720 views

Confidence interval for Mann-Whitney test (Hodges–Lehmann estimator)

Does anybody knows how to calculate the confidence interval using normal approximation for the Hodges-Lehmann estimator (median of Y-X)? This is how Minitab performs calculation, but I cannot find ...
zeferino's user avatar
  • 581
2 votes
0 answers
599 views

How to construct parametric bootstrap confidence intervals in R without using boot package?

How can I construct parametric bootstrap confidence intervals in R without using the boot package?
user3451166's user avatar
2 votes
0 answers
831 views

References for methods for calculating the confidence interval for Theil-Sen Estimator

For the Theil-Sen estimator I am aware of two principal methods for obtaining confidence intervals: The zyp R-package documentation uses: The confidence interval on the slope is calculated using ...
Erwin's user avatar
  • 21
2 votes
1 answer
779 views

Hypothesis testing for multiple choice quiz

I am trying to determine whether students perform better than chance on a quiz with $q$ multiple choice questions. Each question as 4 possible responses; one is correct and 3 are wrong. A correct ...
Max Masnick's user avatar
1 vote
0 answers
67 views

Confidence interval for sum of product of scaled binomial random variables

I have discrete, independent, but not necessarily identically distributed random variables $X_1,\dots,X_n$ that take on non-negative integer values. Each random variable has unknown distribution ...
Efficiency's user avatar
1 vote
0 answers
78 views

Nonparametric confidence interval for the mean: Failure to reproduce formula from Zhou & Dinh (2005)

Zhou & Dinh (2005) propose the following formula for a $(1 - \alpha)100\%$ confidence interval for the mean of one sample. The confidence interval is based on a transformation of the $t$-statistic:...
COOLSerdash's user avatar
  • 30.9k
1 vote
0 answers
139 views

Bootstrap estimation of variance and C.I. in cases with small group of outliers

I have a given quantity, say $y_a$ which parametrically depends on $a$ value. I consider $N$ values for the $a$ parameter and, for each one take multiple measures of the corresponding $y_a$ (say $N_a$ ...
user1172131's user avatar
1 vote
0 answers
144 views

Coverage of confidence interval of non-normal distribution

I know that when a sample is non-normally distributed, I need to use non-parametric alternatives, as when the assumptions of parametric methods are violated, its coverage will decrease. Let's say ...
Eric Kim's user avatar
  • 1,041
1 vote
0 answers
57 views

Confidence intervals for collision probabilities

I have some random variable $X$ taking values in $\mathbb{N}$. $X$ has finite support (and so bounded mean, variance, etc) but of unknown size. Beyond that I know very little about its distribution. ...
DRMacIver's user avatar
  • 111

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