关 键 词 :长期护理保险;多状态Markov模型;传染病模型;状态转移概率矩阵学科分类:经济学--保险学
人口老龄化日趋严重,失能人群的护理需求日益增加,我国先后在不同地区开展了长期护理保险制度试点和扩大试点。基于改进的传染病模型,即SEIR模型,使用中国老年健康影响因素调查(CLHLS)数据库,构建分性别和城乡区域的失能人口规模预测模型,进行模型参数估计和失能人口规模预测;根据收支平衡原则构建社会保险精算定价模型,结合宁波市这一试点城市的情况,对其长期护理保险保费进行测算。发现构建的模型对数据的拟合和预测效果较好,城镇人口相对乡村、女性相对男性具有生存优势。
The aging population is becoming increasingly severe, and the nursing need of disabled population is increasing. The government has recently carried out pilot and expanded pilot long-term care insurance systems in different regions. Based on an improved epidemic model, namely the SEIR model, using the Chinese Longitudinal Healthy Longevity Survey (CLHLS) database, construct a predicting model of different genders and regions, estimate model parameters and predict the size of the disabled population; Construct a social insurance actuarial pricing model based on the principle of balance of income and expenditure, and calculate the long-term care insurance premiums in Ningbo, a pilot city. It is found that the constructed model can well fit and predict the data, and urban population have survival advantages over rural population, and women over men.