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On Fixed Accuracy Confidence Interval in Multivariate Normal Distribution with Order 1 Autoregressive Covariance
Pritam Sarkar1, Uttam Bandyopadhyay2, Rahul Bhattacharya2
1Department of Statistics, The University of Burdwan, Barddhaman, India.
Journal of Statistical Theory and Practice
|December 19, 2022
Abstract:
In this paper, stein-type two-stage sampling procedure is carried out for fixed accuracy confidence interval estimation of the common variance ( ) parameter corresponding to multivariate normal distribution with autoregressive covariance structure of order 1. Related asymptotics are obtained and simulation results are presented.
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01:21Confidence Intervals
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An unbiased point estimate is often insufficient to predict a population estimate, such as population mean or population proportion. In this scenario, a confidence interval is used. A confidence interval is an estimate similar to a sample proportion. However, unlike the point estimate which is a single value, the confidence interval contains a range of values. These values have lower and upper limits, known as confidence limits, and can be designated as L1 and L2, respectively.
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01:19Interpretation of Confidence Intervals
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A confidence interval is a better estimate of the population than a point estimate, as it uses a range of values from a sample instead of a single value.
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Suppose a person calculates a confidence interval with a confidence coefficient of 0.95. In that case, they can...
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00:54Uncertainty: Confidence Intervals
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The confidence interval is the range of values around the mean that contains the true mean. It is expressed as a probability percentage. The interpretation of a 95% confidence interval, for instance, is that the statistician is 95% confident that the true mean falls within the interval. The upper and lower limits of this range are known as confidence limits. The confidence limits for the true mean are estimated from the sample's mean, the standard deviation, and the statistical factor...
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01:25Confidence Interval for Estimating Population Mean
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The interval estimate of any variable is known as the prediction interval. It helps decide if a point estimate is dependable.
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01:24Confidence Coefficient
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The confidence coefficient is also known as the confidence level or degree of confidence. It is the percent expression for the probability, 1-α, that the confidence interval contains the true population parameter assuming that the confidence interval is obtained after sufficient unbiased sampling; for example, if the CL = 90%, then in 90 out of 100 samples the interval estimate will enclose the true population parameter. Here α is the area under the curve, distributed equally under...
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