Estimation of a probability with optimum guaranteed confidence in inverse binomial sampling

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Estimation of a probability with optimum guaranteed confidence in inverse binomial sampling

Sequential estimation of a probability p by means of inverse binomial sampling is considered. For μ1, μ2 > 1 given, the accuracy of an estimator p̂ is measured by the confidence level Pr[p/μ2 ≤ p̂ ≤ pμ1]. The confidence levels c0 that can be guaranteed for p unknown, i.e. such that Pr[p/μ2 ≤ p̂ ≤ pμ1] ≥ c0 for all p ∈ (0, 1), are investigated. It is shown that, within the general class of randomiz...

متن کامل

Explicit Formula for Constructing Binomial Confidence Interval with Guaranteed Coverage Probability

In this paper, we derive an explicit formula for constructing the confidence interval of binomial parameter with guaranteed coverage probability. The formula overcomes the limitation of normal approximation which is asymptotic in nature and thus inevitably introduce unknown errors in applications. Moreover, the formula is very tight in comparison with classic Clopper-Pearson’s approach from the...

متن کامل

Ja n 20 09 Optimal Explicit Binomial Confidence Interval with Guaranteed Coverage Probability ∗

In this paper, we develop an approach for optimizing the explicit binomial confidence interval recently derived by Chen et al. The optimization reduces conservativeness while guaranteeing prescribed coverage probability. 1 Explicit Formula of Chen et al. Let X be a Bernoulli random variable defined in probability space (Ω,F ,Pr) with distribution Pr{X = 1} = 1 − Pr{X = 0} = p ∈ (0, 1). It is a ...

متن کامل

The shortest Clopper–Pearson randomized confidence interval for binomial probability

Zieliński (2010) showed the existence of the shortest Clopper–Pearson confidence interval for binomial probability. The method of obtaining such an interval is presented as well. Unfortunately, the obtained confidence interval has one disadvantage: it does not keep the prescribed confidence level. In what follows, a small modification is introduced, after which obtained the shortest confidence ...

متن کامل

The Shortest Clopper-Pearson Confidence Interval for Binomial Probability

In the paper there is shown the existence of the shortest confidence interval for binomial probability. The method of obtaining such interval is presented as well. Note: The following files were submitted by the author for peer review, but cannot be converted to PDF. You must view these files (e.g. movies) online.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Bernoulli

سال: 2010

ISSN: 1350-7265

DOI: 10.3150/09-bej219