First Sentence:
In attempts to understand the world around us, observations are frequently made sequentially over time.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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strictly stationary solution, lynx data, modeling biases, estimated coefficient functions, local data points, nonlinear time series models, local linear fit, local linear estimator, bilinear time series models, quadratic approximation lemma, local polynomial estimator, generalized likelihood ratio statistic, local polynomial fitting, backfitting algorithm, quantile interval, predictive sets, estimated spectral density, analyzing time series data, predictive intervals, bootstrap scheme, spectral density estimation, conditional variance function, strictly stationary process, local linear regression, local polynomial regression
Key Phrases - Capitalized Phrases (CAPs):
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Lag Lag, Estimated Coefficient Function, Monte Carlo, Mackenzie River, Nadaraya Watson, Prakasa Rao, Features of Nonlinear Prediction, Royal Statistical Society
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