论文标题
圆上有心脏分布的扩展
An Extension of the Cardioid Distributions on Circle
论文作者
论文摘要
引入了一个新的分布家族，这是心脏分布的概括。计算均值，方差和特征函数之类的基本特性。该分布是单峰或双峰。计算模式。分布的对称性是特征的。这些参数被证明是构成的（即由分布唯一确定）。我们还表明，这个新家庭是分布的一部分，其傅立叶系列最多具有2个学位，并研究了该属性的含义。
A new family of distributions on the circle is introduced which are a generalization of the Cardioid distributions. The elementary properties such as mean, variance and the characteristic function are computed. The distribution is either unimodal or bimodal. The modes are computed. The symmetry of the distribution is characterized. The parameters are shown to be canonic (i.e. uniquely determined by the distribution). We also show that this new family is a subset of distributions whose Fourier series has degree at most 2 and study the implications of this property.
