statsmodels.stats.weightstats.DescrStatsW.quantile¶
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DescrStatsW.quantile(probs, return_pandas=True)[source]¶ Compute quantiles for a weighted sample.
- Parameters
- probsarray_like
A vector of probability points at which to calculate the quantiles. Each element of probs should fall in [0, 1].
- return_pandasbool
If True, return value is a Pandas DataFrame or Series. Otherwise returns a ndarray.
- Returns
- quantiles
Series,DataFrame,orndarray - If return_pandas = True, returns one of the following:
data are 1d, return_pandas = True: a Series indexed by the probability points.
data are 2d, return_pandas = True: a DataFrame with the probability points as row index and the variables as column index.
If return_pandas = False, returns an ndarray containing the same values as the Series/DataFrame.
- quantiles
Notes
To compute the quantiles, first, the weights are summed over exact ties yielding distinct data values y_1 < y_2 < …, and corresponding weights w_1, w_2, …. Let s_j denote the sum of the first j weights, and let W denote the sum of all the weights. For a probability point p, if pW falls strictly between s_j and s_{j+1} then the estimated quantile is y_{j+1}. If pW = s_j then the estimated quantile is (y_j + y_{j+1})/2. If pW < p_1 then the estimated quantile is y_1.
References
SAS documentation for weighted quantiles: