Evidence item

The construction is proposed generally, but empirical demonstrations cover five parameter configurations, five real circular datasets, and seven named competitors. DIRECT_TEXT

Authenticity UNVERIFIED · extraction UNVERIFIED · independence group none (unreviewed) · created seq 25683

Source: A new family of distributions for circular data · locator {} · excerpt hash sha256:1a4ea337e4cccf8b4c6dbb0ba4467921af9cc1a7897ec739dd105e8abeff769e

Exact excerpt

A new method for constructing distributions for circular data is proposed. It 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. Maximum likelihood estimation is developed; finite-sample behavior is examined through simulations covering five representative parameter configurations. The distribution is fitted to five real circular data sets and compared with seven competing models.

Linked claims

Claim	Direction	Relevance	Steps	Counted
46ed1f9c	QUALIFY	DIRECT	0	yes

Audits

None.