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Related Concept Videos

Prediction Intervals01:03

Prediction Intervals

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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.
However, the point estimate is most likely not the exact value of the population parameter, but close to it. After calculating point estimates, we construct interval estimates, called confidence intervals or prediction intervals. This prediction interval comprises a range of values unlike the point estimate and is a better predictor of the observed sample value, y. 
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Uncertainty: Confidence Intervals00:54

Uncertainty: 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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Confidence Intervals01:21

Confidence 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.
A...
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Estimating Population Mean with Known Standard Deviation01:16

Estimating Population Mean with Known Standard Deviation

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To construct a confidence interval for a single unknown population mean μ, where the population standard deviation is known, we need sample mean as an estimate for μ and we need the margin of error. Here, the margin of error (EBM) is called the error bound for a population mean (abbreviated EBM). The sample mean is the point estimate of the unknown population mean μ.
The confidence interval estimate will have the form as follows:
(point estimate - error bound, point estimate +...
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Estimating Population Mean with Unknown Standard Deviation01:22

Estimating Population Mean with Unknown Standard Deviation

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In practice, we rarely know the population standard deviation. In the past, when the sample size was large, this did not present a problem to statisticians. They used the sample standard deviation s as an estimate for σ and proceeded as before to calculate a confidence interval with close enough results. However, statisticians ran into problems when the sample size was small. A small sample size caused inaccuracies in the confidence interval.
William S. Gosset (1876–1937) of the...
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Estimating Population Standard Deviation01:26

Estimating Population Standard Deviation

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When the population standard deviation is unknown and the sample size is large, the sample standard deviation s is commonly used as a point estimate of σ. However, it can sometimes under or overestimate the population standard deviation. To overcome this drawback, confidence intervals are determined to estimate population parameters and eliminate any calculation bias accurately. However, this only applies to random samples from normally distributed populations. Knowing the sample mean and...
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LSTM-conformal forecasting-based bitcoin forecasting method for enhancing reliability.

Xiangyue Zhang1, Yuyun Kang2, Chao Li3

  • 1School of Information Science and Engineering, Linyi University, Linyi, Shandong, China.

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|May 2, 2025
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Summary
This summary is machine-generated.

This study introduces a Long Short-term Memory (LSTM) with conformal prediction (CP) model to improve Bitcoin value prediction reliability. The combined LSTM-CP method enhances prediction accuracy and provides verifiable confidence intervals for cryptocurrency forecasting.

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Area of Science:

  • Financial Technology
  • Computational Finance
  • Machine Learning

Background:

  • Cryptocurrency, a novel asset class, presents significant research opportunities due to financial technology advancements.
  • Bitcoin, the leading cryptocurrency, possesses substantial research value, yet its volatile nature necessitates reliable value prediction.
  • Accurate and reliable prediction of Bitcoin's value is increasingly critical in financial markets.

Purpose of the Study:

  • To develop and evaluate a novel method for enhancing the reliability of Bitcoin value predictions.
  • To combine Long Short-term Memory (LSTM) networks with conformal prediction (CP) techniques for improved forecasting accuracy.
  • To generate verifiable confidence intervals for Bitcoin price predictions.

Main Methods:

  • Feature selection using the Spearman correlation coefficient method, excluding features below 0.75 and above 0.95.
  • Development and training of a Long Short-term Memory (LSTM) model for Bitcoin value prediction.
  • Integration of LSTM predictions into a conformal prediction framework with quantile loss and an Average Coverage Interval (ACI) predictor.

Main Results:

  • The proposed LSTM-conformal prediction (LSTM-CP) model demonstrated improved reliability in forecasting Bitcoin's value.
  • Confidence intervals generated by the conformal prediction model verified the reliability of the LSTM predictions.
  • The Average Coverage Interval (ACI) predictor contributed to enhancing the accuracy of the prediction results.

Conclusions:

  • The combination of LSTM and conformal prediction offers a robust approach for reliable cryptocurrency value forecasting.
  • The LSTM-CP model effectively addresses the challenge of volatility in Bitcoin price prediction.
  • This research provides a valuable tool for financial analysts and researchers seeking dependable cryptocurrency market insights.