Pandas version checks

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Reproducible Example

import numpy as np
import pandas as pd

arr = np.array([-1j, 0j, 1j], dtype=complex)
s = pd.Series(arr, dtype=complex)

print(arr.std(ddof=0))  # 0.816496580927726
print(s.std(ddof=0))  # nan
print(arr.var(ddof=0))  # 0.666
print(s.var(ddof=0))  # -0.666

Issue Description

  1. The results diverge from numpy.
  2. pandas yields nonsensical results like negative floats.

Expected Behavior

For complex variables, std and var should give non-negative floating results. Recall that $σ ≔ \sqrt{𝔼|x-μ|^2 }$. Often, authors that only use real-valued variables leave out the absolute value, which I guess is what happened here.

Installed Versions

INSTALLED VERSIONS ------------------ commit : 2cc37625532045f4ac55b27176454bbbc9baf213 python : 3.13.4 python-bits : 64 OS : Linux OS-release : 6.11.0-26-generic Version : #26~24.04.1-Ubuntu SMP PREEMPT_DYNAMIC Thu Apr 17 19:20:47 UTC 2 machine : x86_64 processor : x86_64 byteorder : little LC_ALL : None LANG : en_US.UTF-8 LOCALE : en_US.UTF-8 pandas : 2.3.0 numpy : 2.3.0 pytz : 2025.2 dateutil : 2.9.0.post0 pip : 25.1.1 Cython : None sphinx : 8.2.3 IPython : 9.3.0 adbc-driver-postgresql: None adbc-driver-sqlite : None bs4 : 4.13.4 blosc : None bottleneck : None dataframe-api-compat : None fastparquet : None fsspec : 2025.5.1 html5lib : None hypothesis : 6.135.9 gcsfs : None jinja2 : 3.1.6 lxml.etree : None matplotlib : 3.10.3 numba : None numexpr : None odfpy : None openpyxl : None pandas_gbq : None psycopg2 : None pymysql : None pyarrow : 20.0.0 pyreadstat : None pytest : 8.4.0 python-calamine : None pyxlsb : None s3fs : None scipy : 1.15.3 sqlalchemy : None tables : None tabulate : None xarray : None xlrd : None xlsxwriter : None zstandard : None tzdata : 2025.2 qtpy : None pyqt5 : None