statsmodels.stats.rates.confint_quantile_poisson¶
-
statsmodels.stats.rates.confint_quantile_poisson(count, exposure, prob, exposure_new=
1.0, method=None, alpha=0.05, alternative='two-sided')[source]¶ confidence interval for quantile of poisson random variable
- Parameters:¶
- count : array_like¶
Observed count, number of events.
- exposure : arrat_like¶
Currently this is total exposure time of the count variable.
- prob : float in (0, 1)¶
Probability for the quantile, e.g. 0.95 to get the upper 95% quantile. With known mean mu, the quantile would be poisson.ppf(prob, mu).
- exposure_new : float¶
Exposure of the new or predicted observation.
- method : str¶
Method to used for confidence interval of the estimate of the poisson rate, used in confint_poisson. This is required, there is currently no default method.
- alpha : float in (0, 1)¶
Significance level for the confidence interval of the estimate of the Poisson rate. Nominal coverage of the confidence interval is 1 - alpha.
- alternative : {"two-sider", "larger", "smaller")¶
The tolerance interval can be two-sided or one-sided. Alternative “larger” provides the upper bound of the confidence interval, larger counts are outside the interval.
- Returns:¶
tuple (low, upp) of limits of tolerance interval.
The confidence interval is a closed interval, that is both
lowanduppare in the interval.
See also
References
Hahn, Gerald J, and William Q Meeker. 2010. Statistical Intervals: A Guide for Practitioners.