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Thread: Estimating location of lower tail

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    Estimating location of lower tail




    Say I have a sample, assumed from a Normal Distribution. I want to find a confidence interval for this parameter:

    L = \mu - \alpha * \sigma

    where \alpha is a known constant.

    I guess I should use the estimator:

    \bar{x} - \alpha*s

    But what standard error should I use?

    Just for context - the situation is that I have measured the size of 8 manufactured objects, and want to figure out a reasonable value for the minimum size that they might ever take.

    Cheers! This is my first post, so I hope it makes sense, and the maths typesetting works.

  2. #2
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    Re: Estimating location of lower tail

    hi,
    this would be a nice occasion to use the bootstrap method. Just generate a bunch ( >100000)samples with replacement from your data and create the distribution of your value.

    regards

  3. #3
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    Re: Estimating location of lower tail


    Great! Thanks for that. :-)

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