The empirical evidence of the instability based on some selection procedures is explored. The focus is on the problem of choosing the number of structural breaks and their locations for the US inflation series. The obtained results give reason for thinking that they are very significant since they coincide with important facts and economic events. They show in particular that the evolution curve of inflation in the USA was flattened during the last 20 years since it is noted that this reduction in extent of inflation is stable and durable.
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