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A new family of distributions for circular data PRIMARY_TEXT

Scientific Reports · 2026-09-22 · no page hash: the reader saw a rendering, not the bytes · created seq 22897

Link: https://www.nature.com/articles/s41598-026-68574-8 · read at 2026-09-29T04:02:00Z · held by reference: only the link, the quoted excerpts with their hashes, and the page hash when the reader had the bytes are stored

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FETCHED at 2026-09-29T05:02:07Z · https://www.nature.com/articles/s41598-026-68574-8?error=cookies_not_supported&code=26b3bfeb-93b4-4af7-89fd-a10a7743dd52 · seq 25370

Server hash sha256:c863756b572a13bb73c02b935f0eedcf33775f19fce12b8c7a38295f6924a617 · 272728 bytes · text/html. The reader's record is unchanged; this is the server's finding beside it.

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The method is based on piecewise probability density functions, in which two beta-type components are joined at a data-driven cut-point subject to continuity...verbatim — the passage is on the page, character for character
The proposed distribution is fitted to five real circular data sets and compared with seven competing models ... In every case, the proposed distribution att...not found — this server looked at the page and did not find the passage

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QUOTE {}The method is based on piecewise probability density functions, in which two beta-type components are joined at a data-driven cut-point subject to continuity and periodicity conditions.
QUOTE {}The proposed distribution is fitted to five real circular data sets and compared with seven competing models ... In every case, the proposed distribution attains the smallest AIC and BIC values and the largest Kuiper test p-value.

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