CAJ | 학술논문

Alpha稳定分布是对水声混响数据进行非高斯概率密度拟合的最优模型之一，而仿真产生服从标准参数系下的Alpha稳定分布序列是展开相应研究的基础。论述了三种参数系下服从Alpha稳定分布随机变量的变换关系及各种参数系表述的优缺点，实现了标准参数系下任意参数组合 Alpha 稳定分布序列的数值仿真；同时还利用直接数值积分法完成了无显性概率密度表达式的Alpha稳定分布序列概率密度值计算，以之作为理论值与统计值进行了分析比较，验证了数值仿真方法的正确性。
Alpha은정분포시대수성혼향수거진행비고사개솔밀도의합적최우모형지일，이방진산생복종표준삼수계하적Alpha은정분포서렬시전개상응연구적기출。논술료삼충삼수계하복종Alpha은정분포수궤변량적변환관계급각충삼수계표술적우결점，실현료표준삼수계하임의삼수조합 Alpha 은정분포서렬적수치방진；동시환이용직접수치적분법완성료무현성개솔밀도표체식적Alpha은정분포서렬개솔밀도치계산，이지작위이론치여통계치진행료분석비교，험증료수치방진방법적정학성。
Alpha stable distribution is one of the best non-Gaussian probability models for underwater acoustics rever-beration data. Numerical simulation of Alpha Stable Distribution sequence, which obeys the standard parameter system, is the basis of the corresponding research. The transformation relationship among Alpha Stable Distribution random variables under the three parameter systems and the advantages and disadvantages of various parameter system formu-lations are summarized. Under the standard parameter system the numerical simulation of Alpha stable distribution sequence with of arbitrary parameter combination is implemented. Without explicit probability density expression, the probability density values of Alpha Stable Distribution are calculated with direct numerical integration method, which are used as theoretical values to make comparative analysis with statistical ones, and to verify the correctness of the numerical simulation method.