Statistics is a science that collects information through systematic collection、A comprehensive discipline that organizes and analyzes data to infer the essence of things or make predictions。bet365 sign up offer theories and methods rely heavily on mathematical knowledge，The application scope of statistics covers almost all fields of natural science and social science。To a certain extent，Statistics plays a very important role in promoting the development of modern industry and breakthroughs in scientific research。

The 21st century is the digital era，Big data has become one of the most distinctive features and symbols of the times，The subsequent rise of artificial bet365 sign up offer has also become the focus of people's attention。Data is the common foundation of statistics and artificial bet365 sign up offer。Therefore，Statistics has not only become an important pillar in the development of artificial bet365 sign up offer，At the same time, artificial bet365 sign up offer has further enriched the research scope of statistics，Innovated statistical methods and techniques。

　　Artificial bet365 sign up offer technology updates traditional statistical methods

In the study of traditional statistics，The establishment of statistical models depends on the measurement methods and structural characteristics of the data。Statistical analysts often need to preset analysis strategies，Then set the variables to be measured and the method of data collection。In Statistical Thought，The data collected are viewed as samples from a population of interest，Using a sample to infer a population is a basic task of statistics。However, in practical problems，The collection of sample data often cannot completely follow the preset，And the sample is a part of the population，Whether it is a good representation of the population will also affect the accuracy of many statistical analysis methods。With the advent of the big data era，The data scale (i.e. sample size) that can be obtained during the data collection process has been greatly increased，The increase in sample size makes the results of statistical inference and prediction more accurate。Take survival analysis, an important branch of statistics, as an example，The data collected in survival analysis often suffers from various information losses due to limitations of collection methods，However, as the sample size increases，Large samples can reduce the interference caused by information loss to a certain extent，Improve the performance and effect of the model。At the same time，Benefiting from the development of artificial bet365 sign up offer technology and the improvement of computing power，Traditional statistical models that rely heavily on linear structures also show a trend of diversification，Various nonlinear models begin to dominate statistical analysis in the artificial bet365 sign up offer era。

In view of the development trend of statistics in the era of artificial bet365 sign up offer，The author is doing research in the field of survival analysis，Focus on deep learning，Especially the application of neural network technology，In order to expand the application scope and practical effect of the traditional survival analysis model。In a recent study，The author attempts to introduce the neural network tool into the traditional survival analysis regression model，Without increasing the sample size，Improve prediction performance by increasing model flexibility。The most classic survival analysis regression model in history is called the "Cox model"，An important feature is that it is assumed that the influence structure of the independent variable on the hazard rate function of the dependent variable is a linear structure。In traditional statistical modeling，The linear structure assumption is one of the most common assumptions，And has rich theoretical results。However，The relationship between variables in the real world is often a relatively complex nonlinear relationship。Therefore，If nonlinear features can be introduced into the model，It can be closer to the real situation of the objective world，Thus improving the performance of the model，Neural networks have powerful nonlinear function approximation capabilities。With the help of neural network technology，The author has improved the Cox model in two aspects: first, extending the linear part of the independent variable into an arbitrary form of function，Using deep neural network structures for estimation，Breaking through the limitations of the original linear relationship between variables；The second is to introduce a random effect，To characterize those not captured in the data、But factors that have potential impact on the dependent variable。Based on this model，The author designed a corresponding algorithm to obtain parameter estimates，Then compare the prediction effects of this model with other existing algorithms on several data sets，It was found that the model has a significant improvement in prediction ability。In addition，The author also gives the theoretical properties of model estimation。This practice of combining advanced algorithms and techniques in artificial bet365 sign up offer with traditional statistical models，Is an important trend in statistical research in the era of artificial bet365 sign up offer。

　　Artificial bet365 sign up offer and statistics complement each other

With the advent of the era of artificial bet365 sign up offer，On the one hand, statistics is an important supporting discipline for artificial bet365 sign up offer，The research hot spots are closely related to the development of artificial bet365 sign up offer；On the other hand, artificial bet365 sign up offer technical methods not only help to optimize traditional statistical methods，It also provides the possibility to improve the efficiency and accuracy of statistical analysis。

Today’s artificial bet365 sign up offer mainly relies on a large amount of data information，Let the computer train using models and algorithms，Thus enabling computers to possess certain types of bet365 sign up offer。In recent years，Artificial bet365 sign up offer developed based on deep learning technology，Already in speech recognition、Natural Language Processing、Image recognition and other fields have shown strong vitality。Algorithms and technologies involved in artificial bet365 sign up offer，Whether it is deep learning、Pre-training technology，Or the most popular large model today，It’s all inseparable from the support of statistics，Statistics is undoubtedly one of the basic subjects of artificial bet365 sign up offer。Nobel Prize winner Sargent even believed that，Artificial bet365 sign up offer is just an extension of statistics。Therefore，The future development and evolution of artificial bet365 sign up offer，It must also be inseparable from the expansion and improvement of statistics。

In reverse，Artificial bet365 sign up offer technology has also brought huge innovations to statistics。In addition to the research on the application of neural networks in survival analysis by the author mentioned above，Here is another example。In traditional statistical modeling，Statistical analysts often need to construct various variables from data resources according to the objectives of the study，About structuring data resources，Introduce statistical models later。This step is generally called feature extraction。In many applications，The quality of feature extraction is often closely related to the final performance of the statistical model。However，As the most important deep learning in artificial bet365 sign up offer technology，It relies on deep neural network structure，Can automatically implement feature extraction in large amounts of unstructured data，The so-called feature representation learning。This learning process can be completely independent of subsequent statistical tasks，At the same time, the ability of the algorithm can be used to automatically realize the optimal feature extraction for a specific task。Therefore，To a certain extent，Statistical analysis in the era of artificial bet365 sign up offer no longer requires analysts to set variables or extract features based on their own understanding of the research problem，Instead, algorithms can be used to automatically and effectively capture the intrinsic characteristics of the data。This feature is particularly important in statistical analysis and modeling of large and complex data，such as image analysis、Genomics, etc.，It also brought significant changes to the traditional statistical modeling process。

In recent years，The development speed of artificial bet365 sign up offer technology has exceeded people’s expectations。A theoretical explanation of artificial bet365 sign up offer technology from a statistical perspective，It is a topic of great value。Admittedly，Compared to the development speed of technology，The theoretical progress of artificial bet365 sign up offer is still lagging behind。In addition，How to better foresee the boundaries of artificial bet365 sign up offer technology development，And what kind of progress statistical thinking can bring to artificial bet365 sign up offer，These are all issues with great potential for imagination。Without a doubt，Statistical research in the era of artificial bet365 sign up offer，Will open a new era of development。

　　(Author’s affiliation: Department of Statistics and bet365 sign up offer Science, School of Management, Fudan University)