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Kumaraswamy Marshall-Olkin Logistic Exponential分布 被引量:1
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作者 刘焱哲 贾俊梅 闫在在 《数理统计与管理》 CSSCI 北大核心 2021年第4期654-670,共17页
本文通过Kumaraswamy Marshall-Olkin扩展方法引进并研究了一个新的五参数寿命分布,称为Kumaraswamy Marshall-Olkin Logistic-Exponential分布,它包含六种特殊情形,如Marshall-Olkin Exponential分布,Logistic-Exponential分布等。新... 本文通过Kumaraswamy Marshall-Olkin扩展方法引进并研究了一个新的五参数寿命分布,称为Kumaraswamy Marshall-Olkin Logistic-Exponential分布,它包含六种特殊情形,如Marshall-Olkin Exponential分布,Logistic-Exponential分布等。新分布比它的特殊情形及-些其他分布具有更好的数据拟合性能,其失效率函数主要有六种形状,即S型、常数型、递增的、递减的、浴盆型和倒浴盆型。研究了新分布的性质,得到分位数函数、普通矩、不完全矩、矩母函数、邦弗朗尼(Bonferroni)和洛伦兹(Lorenz)曲线、平均差、随机序和次序统计量的可计算表达式。使用极大似然方法估计分布参数,并利用蒙特卡洛模拟方法对极大似然估计的性能进行数值评价。两个实际数据集分布拟合分析表明提出模型具有应用可能性。 展开更多
关键词 logistic-exponential分布 极大似然方法 次序统计量
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A mathematical model to describe the diurnal pattern of enteric methane emissions from non-lactating dairy cows post-feeding 被引量:3
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作者 Min Wang Rong Wang +7 位作者 Xuezhao Sun Liang Chen Shaoxun Tang Chuangshe Zhou Xuefeng Han Jinghe Kang Zhiliang Tan Zhixiong He 《Animal Nutrition》 SCIE 2015年第4期329-338,共10页
Enteric methane emission is not only a source of energy loss in ruminants, but also a potent contributor to greenhouse gas production. To identify the nature and timing of interventions to reduce methane emissions req... Enteric methane emission is not only a source of energy loss in ruminants, but also a potent contributor to greenhouse gas production. To identify the nature and timing of interventions to reduce methane emissions requires knowledge of temporal kinetics of methane emissions during animal husbandry.Accordingly, a mathematical model was developed to investigate the pattern of enteric methane emissions after feeding in dairy cows. The model facilitated estimation of total enteric methane emissions(V,g) produced by the residual substrate(V1, g) and newly ingested feed(V2, g). The model was fitted to the10 h methane emission patterns after morning feeding of 16 non-lactating dairy cows with various body weights(BW), and the obtained parameters were used to predict the kinetics of 24 h methane emission for each animal. The rate of methane emission(g/h) reached a maximum within 1 to 2 h after feeding,followed by a gradual post-prandial decline to a basal value before the next feeding. The model satisfactorily fitted curves for each cow according to the criterion of goodness-of-fit, and provided biological descriptions for fluctuations in methane emissions based on basal V1 and feeding V2 in response to the changes in BW and dry matter intake(DMI) of different dairy cows. The basal V1 and feeding V2 are probably maintained by slow-and readily-degradable substrates, respectively. The former contributed at least 0.6 of methane production. In summary, the model provides a means to separate basal V1 and feeding V2 within V, and can be used to predict 24 h emission from a single feeding period. 展开更多
关键词 METHANE logistic-exponential model METHANOGEN RUMEN
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