19th Ave New York, NY 95822, USA

# 统计代写|时间序列和预测代写Time Series & Prediction代考|Stat131 Defining Time-Series

my-assignmentexpert™提供最专业的一站式服务：Essay代写，Dissertation代写，Assignment代写，Paper代写，Proposal代写，Proposal代写，Literature Review代写，Online Course，Exam代考等等。my-assignmentexpert™专注为留学生提供Essay代写服务，拥有各个专业的博硕教师团队帮您代写，免费修改及辅导，保证成果完成的效率和质量。同时有多家检测平台帐号，包括Turnitin高级账户，检测论文不会留痕，写好后检测修改，放心可靠，经得起任何考验！

## 统计代写|时间序列和预测代写Time Series & Prediction代考|Defining Time-Series

A time-series is a discrete sequence of a time-valued function ordered over time. There exist a lot many real-world entities, such as rainfall, atmospheric temperature, population growth, gross domestic product (GDP) and the like, where the data are measured at a regular interval of (real) time. These unprocessed data, representing the temporal variations of the entity at fixed time-points, within a given finite interval of time together describes a time-series. The inclusion of finite interval of real time in the definition of a time-series makes sense from the perspective of its prediction at a time point not included in the recorded data set. However, if the motivation of the series is to preserve historical data only, ignoring futuristic
predictions, the restriction on fixed and finite interval from the notion of time-series can be dropped. For example, any discrete dynamical process response can be called a time-series, where the motivation is to examine the nature of dynamic behavior from the mathematical model of the series dynamics, does also represent a time-series.

Mathematicians represent a discrete process dynamics by a difference equation, where the solution of the difference equation describes a sequence of infinite series of time-valued function in an increasing order of time. Let $f(t)$ be a continuous function over time $t$ in the interval $\left[t_{\min }, t_{\max }\right]$. We discretize $f(t)$ by $f(k T)$, where $T$ is the sampling interval and $\mathrm{k}=0,1,2,3,4, \ldots$ where $\mathrm{t}{\min }=0$ and $\mathrm{t}{\max }=\mathrm{nT}$, for some positive integer $\mathrm{n}$. Given $\mathrm{f}(\mathrm{kT})$ for $\mathrm{k}=0,1,2, \ldots, \mathrm{n}$, time series prediction requires determining $f(n T)$ using suitable techniques such as regression, heuristics, probabilistic techniques, neural net based supervised learning and many others.

## 统计代写|时间序列和预测代写Time Series & Prediction代考|Importance of Time-Series Prediction

Prediction of a time-series is useful for its wide-spread real-world applications. For example, the population growth in a country from the measure of its current population is useful to determine the future prospect of the citizens. In order to maintain a healthy environment of the citizens, the planning of proper utilization of national resources is required to channelize funds in diverse sectors as felt appropriate by the Government.

Secondly, the prediction of rainfall from the historical time-series data of previous years in a given locality of a country is an important issue to maintain necessary seasonal distribution of water for agricultural purposes.

Thirdly, the economic growth of a bank is an interesting time-series, controlled by several factors including, interest rate, loan sanctioned in the current year, population of new depositors and many others. The control policies of the bank on re-allocation of assets thus are detrimental to the forecasted time-series of its economic growth.

Enrollment of students in a department of a university also is a useful time-series for self-assessment of the department and the university as well in its international ranking, facilities offered to students and the job opportunities of the students. A fall-off in enrollment thus might be due to the failure to offer necessary facilities and infrastructures to students, which in turn determines the national and international ranking of the university.

Various financial institutions of the country have their investments in equities, derivatives, forex, commodities etc. They have also to maintain hedge funds. For all these kind of trading/investment activities a complete speculation is necessary. It is only possible with time series prediction of above trading/investment instruments (indices, commodities, forex, futures and options etc.

Thus wrong prediction of time series of instruments invites big losses for institutions, which may lead to bankruptcy. The correct prediction results, such as good profit in trading/investment, are always appreciated.

## Matlab代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。