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2 votes
1 answer
95 views

I'm stuck in a part of an exercise where I'm asked to find a variance so that its confidence interval is within some bounds

I'm trying to complete an exercise from my book, asking me to find the variance to allow a sample of 49 items (that follows a normal law) to stay in bounds of one confidence interval, at 95% of ...
Marc Le Bihan's user avatar
0 votes
0 answers
1k views

Pointwise standard error and confidence interval for a smoothing spline

I wish to generate confidence intervals for a smoothing spline using the pointwise standard error of $\hat{f}_\lambda(x)$. In particular, I am trying to construct the following interval: $$\hat{f}_\...
Seraf Fej's user avatar
  • 556
1 vote
0 answers
256 views

Confidence interval for population variance and chi-square distribution [closed]

At present, i am reading the e-book by Robert L. Mcdonald(Professor of Finance,Northwestern University's Kellogg school of Management) named $"Derivatives Markets" 3rd Edition.$ In that book, I didn'...
Win_odd Dhamnekar's user avatar
3 votes
1 answer
135 views

Which one is the correct formula of confidence interval of variance?

I got the following formula of confidence interval of variance in this site $$\frac{(n-1)s^2}{\chi^2_{1-(\alpha/2),n-1}}<\sigma^2<\frac{(n-1)s^2}{\chi^2_{(\alpha/2),n-1}}$$ And this following ...
ABC's user avatar
  • 1,705
3 votes
2 answers
247 views

Interval estimation of $\sigma^2$ with the reliability of $95\%$

I got these values from the measurement by a telescope: 20.1, 20.2, 19.9, 20, 20.5, 20.5, 20, 19.8, 19.9, 20. I know that the actual distance is 20 km and the error of the measurement is not affected ...
user1111261's user avatar