Components of time series
Name and elaborate the four components of time series in brief.
Expert
• TREND (SECULAR TREND):Time series data would normally show an upward or downward trend over a period of time. A trend is a longterm movement in time series. They are generally gradual increases or decreases over a period of time and an example of an upward trend would be price increases over the years, and a downward trend would be decrease in sales over the years. The increase or decrease is fairly gradual and thus a smooth curve or straight line curve generally depicts the trend.
• CYCLICAL VARIATIONS (C):These variations are not regular as seasonal variation, they are medium to long term deviations from the trend. Cyclical variations are recurrent upward or downward movements in a time series but the period of cycle is greater than a year. There are different cycles of varying in length and size. A business cycle is one of the most common forms and passes through stages.
• SEASONAL VARIATIONS (S):Seasonal variations are fluctuations that are repeated periodically, they are short term fluctuations and occur periodically within a year. Major factors causing this repetition are weather conditions and customs of people.• RANDOM (IRREGULAR) VARIATION (R):
These are fluctuations in time series that are short in duration, unpredictable occurrences that are erratic in nature and follow no regular pattern. They result due to unforeseen events such as droughts, strikes etc.
Suppose that your utility, U, is a function only of wealth, Y, and that U(Y) is as drawn below. In this graph, note that U(Y) increases linearly between points a and b. Suppose further that you do not know whether or not you
1. In the waning seconds of Superbowl XLVII, the Baltimore Ravens elected to take a safety rather than punt the ball. A sports statistician wishes to analyze the effect this decision had on the probability of winning the game. (a) Which two of the following probabilities would most help t
Random variables with zero correlation are not necessarily independent. Give a simple example.
Quality control: when the output of a production process is stable at an acceptable standard, it is said to be "in control?. Suppose that a production process has been in control for some time and that the proportion of defectives has been 0.5. as a means of monitorin
Suppose we have a stick of length L. We break it once at some point X _ Q : Probability and Statistics Instructions: Do your work on this question and answer sheet. Please print or write legibly, and, as always, be complete but succinct. Record your answer and your supporting work in the designated space. Explain your method of solution and be sure to label clearly any
Instructions: Do your work on this question and answer sheet. Please print or write legibly, and, as always, be complete but succinct. Record your answer and your supporting work in the designated space. Explain your method of solution and be sure to label clearly any
A sample of 9 days over the past six months showed that a clinic treated the following numbers of patients: 24, 26, 21, 17, 16, 23, 27, 18, and 25. If the number of patients seen per day is normally distributed, would an analysis of these sample data provide evid
Define the term Correlation and describe Correlation formula in brief.
File is attached, need it by 8:30 AM Pacific (Seattle, WA) time. No delay acceptable. Need it March 25, 2014 on 8:30 AM Pacific time.
What are the Bayesian Point of estimation and what are the process of inference in Bayesian statistics?
18,76,764
1950524 Asked
3,689
Active Tutors
1434473
Questions Answered
Start Excelling in your courses, Ask an Expert and get answers for your homework and assignments!!