Regression Analysis And Application Of Competing Risk Data Based On Cumulative Incidence Function

In clinical and public health research,the issue of competing risk arises when a cancer patient may have one or more potential causes of death during treatment in addition to the event of interest resulting in death.In recent years,the research on competing risk data has been widely concerned by scholars.The first problem studied in this paper is the regression analysis of competing risk data under the semi-parameter transformation addition model,and the cumulative incidence function of competing risk data is modeled based on the semi-parameter transformation addition model.By using the nonparametric maximum likelihood estimation method,the estimators of the semi-parameter transformation addition model were obtained,and the asymptotic properties of the estimators were deduced.The estimation procedures were simulated.Finally,the semi-parameter transformation addition model proposed in this paper was applied to the data set of bone marrow transplantation for multiple myeloma patients.Another issue studied in this paper is to consider the relationship between radiotherapy and the risk of developing a second primary gynecological malignancy in colorectal cancer patients with competitive risk under the cumulative incidence function.The occurrence of secondary primary gynecological malignancies in patients with rectal cancer treated with radiotherapy was considered as the target outcome event,and the experience of non-secondary primary gynecological malignancies and death from other causes were considered as competing events.In this study,a competitive risk regression model was used to estimate the cumulative incidence of secondary primary gynecological malignancies in rectal cancer patients.Secondly,logistic regression was used to assess the risk of developing a second primary gynecological malignancy in patients who received radiotherapy and those who did not.Finally,Logrank test was used to demonstrate the correlation between radiotherapy and the development of a second primary gynecological malignancy.The study found that radiation therapy was associated with an increased risk of developing body and cervical cancers in rectal cancer patients.